Finding the Third Proportional to 10,275.75 and 14,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.75 : 14,557.50 = 14,557.50 : x
2. Step 2: Convert to fraction form
   10,275.75/14,557.50 = 14,557.50/x
3. Step 3: Cross multiply
   10,275.75x = 14,557.50 × 14,557.50
4. Step 4: Simplify right side
   10,275.75x = 211,920,806.25
5. Step 5: Solve for x
   x = 211,920,806.25/10,275.75
6. Step 6: Final answer
   x = 20,623.39