Finding the Third Proportional to 3,758.50 and 5,342.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.50 : 5,342.38 = 5,342.38 : x
2. Step 2: Convert to fraction form
   3,758.50/5,342.38 = 5,342.38/x
3. Step 3: Cross multiply
   3,758.50x = 5,342.38 × 5,342.38
4. Step 4: Simplify right side
   3,758.50x = 28,540,970.64
5. Step 5: Solve for x
   x = 28,540,970.64/3,758.50
6. Step 6: Final answer
   x = 7,593.71