Finding the Third Proportional to 6,139.69 and 9,442.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,139.69 : 9,442.69 = 9,442.69 : x
2. Step 2: Convert to fraction form
   6,139.69/9,442.69 = 9,442.69/x
3. Step 3: Cross multiply
   6,139.69x = 9,442.69 × 9,442.69
4. Step 4: Simplify right side
   6,139.69x = 89,164,347.22
5. Step 5: Solve for x
   x = 89,164,347.22/6,139.69
6. Step 6: Final answer
   x = 14,522.62