Finding the Third Proportional to 10,269.75 and 14,675.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,269.75 : 14,675.25 = 14,675.25 : x
2. Step 2: Convert to fraction form
   10,269.75/14,675.25 = 14,675.25/x
3. Step 3: Cross multiply
   10,269.75x = 14,675.25 × 14,675.25
4. Step 4: Simplify right side
   10,269.75x = 215,362,962.56
5. Step 5: Solve for x
   x = 215,362,962.56/10,269.75
6. Step 6: Final answer
   x = 20,970.61