Finding the Third Proportional to 13,032 and 31,498

Step by Step Solution

1. Step 1: Write the proportion equation
   13,032 : 31,498 = 31,498 : x
2. Step 2: Convert to fraction form
   13,032/31,498 = 31,498/x
3. Step 3: Cross multiply
   13,032x = 31,498 × 31,498
4. Step 4: Simplify right side
   13,032x = 992,124,004
5. Step 5: Solve for x
   x = 992,124,004/13,032
6. Step 6: Final answer
   x = 76,129.83