Finding the Third Proportional to 6,134.25 and 9,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,134.25 : 9,442.50 = 9,442.50 : x
2. Step 2: Convert to fraction form
   6,134.25/9,442.50 = 9,442.50/x
3. Step 3: Cross multiply
   6,134.25x = 9,442.50 × 9,442.50
4. Step 4: Simplify right side
   6,134.25x = 89,160,806.25
5. Step 5: Solve for x
   x = 89,160,806.25/6,134.25
6. Step 6: Final answer
   x = 14,534.92