Finding the Third Proportional to 5,965.50 and 9,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,965.50 : 9,155.25 = 9,155.25 : x
2. Step 2: Convert to fraction form
   5,965.50/9,155.25 = 9,155.25/x
3. Step 3: Cross multiply
   5,965.50x = 9,155.25 × 9,155.25
4. Step 4: Simplify right side
   5,965.50x = 83,818,602.56
5. Step 5: Solve for x
   x = 83,818,602.56/5,965.50
6. Step 6: Final answer
   x = 14,050.56