Finding the Third Proportional to 10,268 and 14,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,268 : 14,672.50 = 14,672.50 : x
2. Step 2: Convert to fraction form
   10,268/14,672.50 = 14,672.50/x
3. Step 3: Cross multiply
   10,268x = 14,672.50 × 14,672.50
4. Step 4: Simplify right side
   10,268x = 215,282,256.25
5. Step 5: Solve for x
   x = 215,282,256.25/10,268
6. Step 6: Final answer
   x = 20,966.33