Finding the Third Proportional to 32,656,569,296,400 and 69,971,152,256,064

Step by Step Solution

1. Step 1: Write the proportion equation
   32,656,569,296,400 : 69,971,152,256,064 = 69,971,152,256,064 : x
2. Step 2: Convert to fraction form
   32,656,569,296,400/69,971,152,256,064 = 69,971,152,256,064/x
3. Step 3: Cross multiply
   32,656,569,296,400x = 69,971,152,256,064 × 69,971,152,256,064
4. Step 4: Simplify right side
   32,656,569,296,400x = 4,895,962,148,041,290,351,636,381,696
5. Step 5: Solve for x
   x = 4,895,962,148,041,290,351,636,381,696/32,656,569,296,400
6. Step 6: Final answer
   x = 149,922,733,879,489.66