Finding the Third Proportional to 36,632 and 78,448

Step by Step Solution

1. Step 1: Write the proportion equation
   36,632 : 78,448 = 78,448 : x
2. Step 2: Convert to fraction form
   36,632/78,448 = 78,448/x
3. Step 3: Cross multiply
   36,632x = 78,448 × 78,448
4. Step 4: Simplify right side
   36,632x = 6,154,088,704
5. Step 5: Solve for x
   x = 6,154,088,704/36,632
6. Step 6: Final answer
   x = 167,997.62