Finding the Third Proportional to 31,902 and 74,517

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 74,517 = 74,517 : x
2. Step 2: Convert to fraction form
   31,902/74,517 = 74,517/x
3. Step 3: Cross multiply
   31,902x = 74,517 × 74,517
4. Step 4: Simplify right side
   31,902x = 5,552,783,289
5. Step 5: Solve for x
   x = 5,552,783,289/31,902
6. Step 6: Final answer
   x = 174,057.53