Finding the Third Proportional to 5,167 and 7,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,167 : 7,498.50 = 7,498.50 : x
2. Step 2: Convert to fraction form
   5,167/7,498.50 = 7,498.50/x
3. Step 3: Cross multiply
   5,167x = 7,498.50 × 7,498.50
4. Step 4: Simplify right side
   5,167x = 56,227,502.25
5. Step 5: Solve for x
   x = 56,227,502.25/5,167
6. Step 6: Final answer
   x = 10,882.04