Finding the Third Proportional to 1,542.19 and 2,385.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.19 : 2,385.38 = 2,385.38 : x
2. Step 2: Convert to fraction form
   1,542.19/2,385.38 = 2,385.38/x
3. Step 3: Cross multiply
   1,542.19x = 2,385.38 × 2,385.38
4. Step 4: Simplify right side
   1,542.19x = 5,690,013.89
5. Step 5: Solve for x
   x = 5,690,013.89/1,542.19
6. Step 6: Final answer
   x = 3,689.57