Finding the Third Proportional to 5,590.13 and 7,687.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,590.13 : 7,687.69 = 7,687.69 : x
2. Step 2: Convert to fraction form
   5,590.13/7,687.69 = 7,687.69/x
3. Step 3: Cross multiply
   5,590.13x = 7,687.69 × 7,687.69
4. Step 4: Simplify right side
   5,590.13x = 59,100,539.10
5. Step 5: Solve for x
   x = 59,100,539.10/5,590.13
6. Step 6: Final answer
   x = 10,572.31