Finding the Third Proportional to 32,640 and 71,364

Step by Step Solution

1. Step 1: Write the proportion equation
   32,640 : 71,364 = 71,364 : x
2. Step 2: Convert to fraction form
   32,640/71,364 = 71,364/x
3. Step 3: Cross multiply
   32,640x = 71,364 × 71,364
4. Step 4: Simplify right side
   32,640x = 5,092,820,496
5. Step 5: Solve for x
   x = 5,092,820,496/32,640
6. Step 6: Final answer
   x = 156,030.04