Finding the Third Proportional to 6,700.50 and 9,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,700.50 : 9,569.25 = 9,569.25 : x
2. Step 2: Convert to fraction form
   6,700.50/9,569.25 = 9,569.25/x
3. Step 3: Cross multiply
   6,700.50x = 9,569.25 × 9,569.25
4. Step 4: Simplify right side
   6,700.50x = 91,570,545.56
5. Step 5: Solve for x
   x = 91,570,545.56/6,700.50
6. Step 6: Final answer
   x = 13,666.23