Finding the Third Proportional to 4,864 and 7,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,864 : 7,417.50 = 7,417.50 : x
2. Step 2: Convert to fraction form
   4,864/7,417.50 = 7,417.50/x
3. Step 3: Cross multiply
   4,864x = 7,417.50 × 7,417.50
4. Step 4: Simplify right side
   4,864x = 55,019,306.25
5. Step 5: Solve for x
   x = 55,019,306.25/4,864
6. Step 6: Final answer
   x = 11,311.54