Finding the Third Proportional to 2,227.50 and 4,870.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.50 : 4,870.13 = 4,870.13 : x
2. Step 2: Convert to fraction form
   2,227.50/4,870.13 = 4,870.13/x
3. Step 3: Cross multiply
   2,227.50x = 4,870.13 × 4,870.13
4. Step 4: Simplify right side
   2,227.50x = 23,718,117.52
5. Step 5: Solve for x
   x = 23,718,117.52/2,227.50
6. Step 6: Final answer
   x = 10,647.86