Finding the Third Proportional to 4,188.38 and 5,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,188.38 : 5,688.38 = 5,688.38 : x
2. Step 2: Convert to fraction form
   4,188.38/5,688.38 = 5,688.38/x
3. Step 3: Cross multiply
   4,188.38x = 5,688.38 × 5,688.38
4. Step 4: Simplify right side
   4,188.38x = 32,357,610.14
5. Step 5: Solve for x
   x = 32,357,610.14/4,188.38
6. Step 6: Final answer
   x = 7,725.58