Finding the Third Proportional to 31,712 and 49,488

Step by Step Solution

1. Step 1: Write the proportion equation
   31,712 : 49,488 = 49,488 : x
2. Step 2: Convert to fraction form
   31,712/49,488 = 49,488/x
3. Step 3: Cross multiply
   31,712x = 49,488 × 49,488
4. Step 4: Simplify right side
   31,712x = 2,449,062,144
5. Step 5: Solve for x
   x = 2,449,062,144/31,712
6. Step 6: Final answer
   x = 77,228.25