Finding the Third Proportional to 6,952.50 and 10,661.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,952.50 : 10,661.63 = 10,661.63 : x
2. Step 2: Convert to fraction form
   6,952.50/10,661.63 = 10,661.63/x
3. Step 3: Cross multiply
   6,952.50x = 10,661.63 × 10,661.63
4. Step 4: Simplify right side
   6,952.50x = 113,670,247.64
5. Step 5: Solve for x
   x = 113,670,247.64/6,952.50
6. Step 6: Final answer
   x = 16,349.55