Finding the Third Proportional to 31,665 and 49,415

Step by Step Solution

1. Step 1: Write the proportion equation
   31,665 : 49,415 = 49,415 : x
2. Step 2: Convert to fraction form
   31,665/49,415 = 49,415/x
3. Step 3: Cross multiply
   31,665x = 49,415 × 49,415
4. Step 4: Simplify right side
   31,665x = 2,441,842,225
5. Step 5: Solve for x
   x = 2,441,842,225/31,665
6. Step 6: Final answer
   x = 77,114.87