Finding the Third Proportional to 2,534.50 and 3,732.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.50 : 3,732.38 = 3,732.38 : x
2. Step 2: Convert to fraction form
   2,534.50/3,732.38 = 3,732.38/x
3. Step 3: Cross multiply
   2,534.50x = 3,732.38 × 3,732.38
4. Step 4: Simplify right side
   2,534.50x = 13,930,623.14
5. Step 5: Solve for x
   x = 13,930,623.14/2,534.50
6. Step 6: Final answer
   x = 5,496.40