Finding the Third Proportional to 6,539.91 and 9,505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,539.91 : 9,505.69 = 9,505.69 : x
2. Step 2: Convert to fraction form
   6,539.91/9,505.69 = 9,505.69/x
3. Step 3: Cross multiply
   6,539.91x = 9,505.69 × 9,505.69
4. Step 4: Simplify right side
   6,539.91x = 90,358,094.85
5. Step 5: Solve for x
   x = 90,358,094.85/6,539.91
6. Step 6: Final answer
   x = 13,816.42