Finding the Third Proportional to 14,206.50 and 31,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,206.50 : 31,182.75 = 31,182.75 : x
2. Step 2: Convert to fraction form
   14,206.50/31,182.75 = 31,182.75/x
3. Step 3: Cross multiply
   14,206.50x = 31,182.75 × 31,182.75
4. Step 4: Simplify right side
   14,206.50x = 972,363,897.56
5. Step 5: Solve for x
   x = 972,363,897.56/14,206.50
6. Step 6: Final answer
   x = 68,445.00