Finding the Third Proportional to 2,113.50 and 4,661.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.50 : 4,661.25 = 4,661.25 : x
2. Step 2: Convert to fraction form
   2,113.50/4,661.25 = 4,661.25/x
3. Step 3: Cross multiply
   2,113.50x = 4,661.25 × 4,661.25
4. Step 4: Simplify right side
   2,113.50x = 21,727,251.56
5. Step 5: Solve for x
   x = 21,727,251.56/2,113.50
6. Step 6: Final answer
   x = 10,280.22