Finding the Third Proportional to 31,830 and 62,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,830 : 62,854.50 = 62,854.50 : x
2. Step 2: Convert to fraction form
   31,830/62,854.50 = 62,854.50/x
3. Step 3: Cross multiply
   31,830x = 62,854.50 × 62,854.50
4. Step 4: Simplify right side
   31,830x = 3,950,688,170.25
5. Step 5: Solve for x
   x = 3,950,688,170.25/31,830
6. Step 6: Final answer
   x = 124,118.38