Finding the Third Proportional to 5,013 and 5,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013 : 5,713.50 = 5,713.50 : x
2. Step 2: Convert to fraction form
   5,013/5,713.50 = 5,713.50/x
3. Step 3: Cross multiply
   5,013x = 5,713.50 × 5,713.50
4. Step 4: Simplify right side
   5,013x = 32,644,082.25
5. Step 5: Solve for x
   x = 32,644,082.25/5,013
6. Step 6: Final answer
   x = 6,511.89