Finding the Third Proportional to 2,502.38 and 5,800.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.38 : 5,800.13 = 5,800.13 : x
2. Step 2: Convert to fraction form
   2,502.38/5,800.13 = 5,800.13/x
3. Step 3: Cross multiply
   2,502.38x = 5,800.13 × 5,800.13
4. Step 4: Simplify right side
   2,502.38x = 33,641,450.02
5. Step 5: Solve for x
   x = 33,641,450.02/2,502.38
6. Step 6: Final answer
   x = 13,443.81