Finding the Third Proportional to 4,896.38 and 7,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,896.38 : 7,459.50 = 7,459.50 : x
2. Step 2: Convert to fraction form
   4,896.38/7,459.50 = 7,459.50/x
3. Step 3: Cross multiply
   4,896.38x = 7,459.50 × 7,459.50
4. Step 4: Simplify right side
   4,896.38x = 55,644,140.25
5. Step 5: Solve for x
   x = 55,644,140.25/4,896.38
6. Step 6: Final answer
   x = 11,364.35