Finding the Third Proportional to 6,565.50 and 10,172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,565.50 : 10,172.25 = 10,172.25 : x
2. Step 2: Convert to fraction form
   6,565.50/10,172.25 = 10,172.25/x
3. Step 3: Cross multiply
   6,565.50x = 10,172.25 × 10,172.25
4. Step 4: Simplify right side
   6,565.50x = 103,474,670.06
5. Step 5: Solve for x
   x = 103,474,670.06/6,565.50
6. Step 6: Final answer
   x = 15,760.36