Finding the Third Proportional to 10,639.50 and 14,312.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,639.50 : 14,312.25 = 14,312.25 : x
2. Step 2: Convert to fraction form
   10,639.50/14,312.25 = 14,312.25/x
3. Step 3: Cross multiply
   10,639.50x = 14,312.25 × 14,312.25
4. Step 4: Simplify right side
   10,639.50x = 204,840,500.06
5. Step 5: Solve for x
   x = 204,840,500.06/10,639.50
6. Step 6: Final answer
   x = 19,252.83