Finding the Third Proportional to 5,196.38 and 9,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.38 : 9,238.50 = 9,238.50 : x
2. Step 2: Convert to fraction form
   5,196.38/9,238.50 = 9,238.50/x
3. Step 3: Cross multiply
   5,196.38x = 9,238.50 × 9,238.50
4. Step 4: Simplify right side
   5,196.38x = 85,349,882.25
5. Step 5: Solve for x
   x = 85,349,882.25/5,196.38
6. Step 6: Final answer
   x = 16,424.89