Finding the Third Proportional to 2,240 and 4,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,240 : 4,767.50 = 4,767.50 : x
2. Step 2: Convert to fraction form
   2,240/4,767.50 = 4,767.50/x
3. Step 3: Cross multiply
   2,240x = 4,767.50 × 4,767.50
4. Step 4: Simplify right side
   2,240x = 22,729,056.25
5. Step 5: Solve for x
   x = 22,729,056.25/2,240
6. Step 6: Final answer
   x = 10,146.90