Finding the Third Proportional to 6,151.50 and 9,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,151.50 : 9,779.25 = 9,779.25 : x
2. Step 2: Convert to fraction form
   6,151.50/9,779.25 = 9,779.25/x
3. Step 3: Cross multiply
   6,151.50x = 9,779.25 × 9,779.25
4. Step 4: Simplify right side
   6,151.50x = 95,633,730.56
5. Step 5: Solve for x
   x = 95,633,730.56/6,151.50
6. Step 6: Final answer
   x = 15,546.41