Finding the Third Proportional to 5,695.31 and 7,581.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,695.31 : 7,581.09 = 7,581.09 : x
2. Step 2: Convert to fraction form
   5,695.31/7,581.09 = 7,581.09/x
3. Step 3: Cross multiply
   5,695.31x = 7,581.09 × 7,581.09
4. Step 4: Simplify right side
   5,695.31x = 57,472,982.45
5. Step 5: Solve for x
   x = 57,472,982.45/5,695.31
6. Step 6: Final answer
   x = 10,091.28