Finding the Third Proportional to 10,253.53 and 14,662.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.53 : 14,662.41 = 14,662.41 : x
2. Step 2: Convert to fraction form
   10,253.53/14,662.41 = 14,662.41/x
3. Step 3: Cross multiply
   10,253.53x = 14,662.41 × 14,662.41
4. Step 4: Simplify right side
   10,253.53x = 214,986,157.04
5. Step 5: Solve for x
   x = 214,986,157.04/10,253.53
6. Step 6: Final answer
   x = 20,967.04