Finding the Third Proportional to 3,442.50 and 5,155.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,442.50 : 5,155.31 = 5,155.31 : x
2. Step 2: Convert to fraction form
   3,442.50/5,155.31 = 5,155.31/x
3. Step 3: Cross multiply
   3,442.50x = 5,155.31 × 5,155.31
4. Step 4: Simplify right side
   3,442.50x = 26,577,246.97
5. Step 5: Solve for x
   x = 26,577,246.97/3,442.50
6. Step 6: Final answer
   x = 7,720.33