Finding the Third Proportional to 6,661.50 and 10,251.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,661.50 : 10,251.25 = 10,251.25 : x
2. Step 2: Convert to fraction form
   6,661.50/10,251.25 = 10,251.25/x
3. Step 3: Cross multiply
   6,661.50x = 10,251.25 × 10,251.25
4. Step 4: Simplify right side
   6,661.50x = 105,088,126.56
5. Step 5: Solve for x
   x = 105,088,126.56/6,661.50
6. Step 6: Final answer
   x = 15,775.44