Finding the Third Proportional to 7,201.50 and 9,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,201.50 : 9,677.25 = 9,677.25 : x
2. Step 2: Convert to fraction form
   7,201.50/9,677.25 = 9,677.25/x
3. Step 3: Cross multiply
   7,201.50x = 9,677.25 × 9,677.25
4. Step 4: Simplify right side
   7,201.50x = 93,649,167.56
5. Step 5: Solve for x
   x = 93,649,167.56/7,201.50
6. Step 6: Final answer
   x = 13,004.12