Finding the Third Proportional to 4,472.50 and 5,882.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,472.50 : 5,882.75 = 5,882.75 : x
2. Step 2: Convert to fraction form
   4,472.50/5,882.75 = 5,882.75/x
3. Step 3: Cross multiply
   4,472.50x = 5,882.75 × 5,882.75
4. Step 4: Simplify right side
   4,472.50x = 34,606,747.56
5. Step 5: Solve for x
   x = 34,606,747.56/4,472.50
6. Step 6: Final answer
   x = 7,737.67