Finding the Third Proportional to 5,688 and 7,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 7,585.31 = 7,585.31 : x
2. Step 2: Convert to fraction form
   5,688/7,585.31 = 7,585.31/x
3. Step 3: Cross multiply
   5,688x = 7,585.31 × 7,585.31
4. Step 4: Simplify right side
   5,688x = 57,536,965.72
5. Step 5: Solve for x
   x = 57,536,965.72/5,688
6. Step 6: Final answer
   x = 10,115.50