Finding the Third Proportional to 31,632 and 49,365

Step by Step Solution

1. Step 1: Write the proportion equation
   31,632 : 49,365 = 49,365 : x
2. Step 2: Convert to fraction form
   31,632/49,365 = 49,365/x
3. Step 3: Cross multiply
   31,632x = 49,365 × 49,365
4. Step 4: Simplify right side
   31,632x = 2,436,903,225
5. Step 5: Solve for x
   x = 2,436,903,225/31,632
6. Step 6: Final answer
   x = 77,039.18