Finding the Third Proportional to 7,645.50 and 10,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,645.50 : 10,766.25 = 10,766.25 : x
2. Step 2: Convert to fraction form
   7,645.50/10,766.25 = 10,766.25/x
3. Step 3: Cross multiply
   7,645.50x = 10,766.25 × 10,766.25
4. Step 4: Simplify right side
   7,645.50x = 115,912,139.06
5. Step 5: Solve for x
   x = 115,912,139.06/7,645.50
6. Step 6: Final answer
   x = 15,160.83