Finding the Third Proportional to 31,496 and 49,412

Step by Step Solution

1. Step 1: Write the proportion equation
   31,496 : 49,412 = 49,412 : x
2. Step 2: Convert to fraction form
   31,496/49,412 = 49,412/x
3. Step 3: Cross multiply
   31,496x = 49,412 × 49,412
4. Step 4: Simplify right side
   31,496x = 2,441,545,744
5. Step 5: Solve for x
   x = 2,441,545,744/31,496
6. Step 6: Final answer
   x = 77,519.23