Finding the Third Proportional to 1,524 and 3,123.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524 : 3,123.38 = 3,123.38 : x
2. Step 2: Convert to fraction form
   1,524/3,123.38 = 3,123.38/x
3. Step 3: Cross multiply
   1,524x = 3,123.38 × 3,123.38
4. Step 4: Simplify right side
   1,524x = 9,755,471.39
5. Step 5: Solve for x
   x = 9,755,471.39/1,524
6. Step 6: Final answer
   x = 6,401.23