Finding the Third Proportional to 3,688.88 and 5,425.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.88 : 5,425.31 = 5,425.31 : x
2. Step 2: Convert to fraction form
   3,688.88/5,425.31 = 5,425.31/x
3. Step 3: Cross multiply
   3,688.88x = 5,425.31 × 5,425.31
4. Step 4: Simplify right side
   3,688.88x = 29,434,015.72
5. Step 5: Solve for x
   x = 29,434,015.72/3,688.88
6. Step 6: Final answer
   x = 7,979.13