Finding the Third Proportional to 6,862.50 and 9,452.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,862.50 : 9,452.25 = 9,452.25 : x
2. Step 2: Convert to fraction form
   6,862.50/9,452.25 = 9,452.25/x
3. Step 3: Cross multiply
   6,862.50x = 9,452.25 × 9,452.25
4. Step 4: Simplify right side
   6,862.50x = 89,345,030.06
5. Step 5: Solve for x
   x = 89,345,030.06/6,862.50
6. Step 6: Final answer
   x = 13,019.31