Finding the Third Proportional to 6,655.50 and 10,342.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,655.50 : 10,342.69 = 10,342.69 : x
2. Step 2: Convert to fraction form
   6,655.50/10,342.69 = 10,342.69/x
3. Step 3: Cross multiply
   6,655.50x = 10,342.69 × 10,342.69
4. Step 4: Simplify right side
   6,655.50x = 106,971,184.72
5. Step 5: Solve for x
   x = 106,971,184.72/6,655.50
6. Step 6: Final answer
   x = 16,072.60