Finding the Third Proportional to 32,656,569,295,776 and 69,971,152,254,960

Step by Step Solution

1. Step 1: Write the proportion equation
   32,656,569,295,776 : 69,971,152,254,960 = 69,971,152,254,960 : x
2. Step 2: Convert to fraction form
   32,656,569,295,776/69,971,152,254,960 = 69,971,152,254,960/x
3. Step 3: Cross multiply
   32,656,569,295,776x = 69,971,152,254,960 × 69,971,152,254,960
4. Step 4: Simplify right side
   32,656,569,295,776x = 4,895,962,147,886,794,124,526,878,720
5. Step 5: Solve for x
   x = 4,895,962,147,886,794,124,526,878,720/32,656,569,295,776
6. Step 6: Final answer
   x = 149,922,733,877,623.44