Finding the Third Proportional to 6,472.50 and 7,143

Step by Step Solution

1. Step 1: Write the proportion equation
   6,472.50 : 7,143 = 7,143 : x
2. Step 2: Convert to fraction form
   6,472.50/7,143 = 7,143/x
3. Step 3: Cross multiply
   6,472.50x = 7,143 × 7,143
4. Step 4: Simplify right side
   6,472.50x = 51,022,449
5. Step 5: Solve for x
   x = 51,022,449/6,472.50
6. Step 6: Final answer
   x = 7,882.96