Finding the Third Proportional to 31,509 and 49,428

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 49,428 = 49,428 : x
2. Step 2: Convert to fraction form
   31,509/49,428 = 49,428/x
3. Step 3: Cross multiply
   31,509x = 49,428 × 49,428
4. Step 4: Simplify right side
   31,509x = 2,443,127,184
5. Step 5: Solve for x
   x = 2,443,127,184/31,509
6. Step 6: Final answer
   x = 77,537.44