Finding the Third Proportional to 1,542.38 and 3,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.38 : 3,358.50 = 3,358.50 : x
2. Step 2: Convert to fraction form
   1,542.38/3,358.50 = 3,358.50/x
3. Step 3: Cross multiply
   1,542.38x = 3,358.50 × 3,358.50
4. Step 4: Simplify right side
   1,542.38x = 11,279,522.25
5. Step 5: Solve for x
   x = 11,279,522.25/1,542.38
6. Step 6: Final answer
   x = 7,313.09