Finding the Third Proportional to 12,829.50 and 31,422

Step by Step Solution

1. Step 1: Write the proportion equation
   12,829.50 : 31,422 = 31,422 : x
2. Step 2: Convert to fraction form
   12,829.50/31,422 = 31,422/x
3. Step 3: Cross multiply
   12,829.50x = 31,422 × 31,422
4. Step 4: Simplify right side
   12,829.50x = 987,342,084
5. Step 5: Solve for x
   x = 987,342,084/12,829.50
6. Step 6: Final answer
   x = 76,958.73