Finding the Third Proportional to 3,502.13 and 5,002.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,502.13 : 5,002.31 = 5,002.31 : x
2. Step 2: Convert to fraction form
   3,502.13/5,002.31 = 5,002.31/x
3. Step 3: Cross multiply
   3,502.13x = 5,002.31 × 5,002.31
4. Step 4: Simplify right side
   3,502.13x = 25,023,130.35
5. Step 5: Solve for x
   x = 25,023,130.35/3,502.13
6. Step 6: Final answer
   x = 7,145.13