Finding the Third Proportional to 1,540.69 and 2,386.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 2,386.13 = 2,386.13 : x
2. Step 2: Convert to fraction form
   1,540.69/2,386.13 = 2,386.13/x
3. Step 3: Cross multiply
   1,540.69x = 2,386.13 × 2,386.13
4. Step 4: Simplify right side
   1,540.69x = 5,693,592.52
5. Step 5: Solve for x
   x = 5,693,592.52/1,540.69
6. Step 6: Final answer
   x = 3,695.49