Finding the Third Proportional to 10,222.50 and 14,496.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.50 : 14,496.75 = 14,496.75 : x
2. Step 2: Convert to fraction form
   10,222.50/14,496.75 = 14,496.75/x
3. Step 3: Cross multiply
   10,222.50x = 14,496.75 × 14,496.75
4. Step 4: Simplify right side
   10,222.50x = 210,155,760.56
5. Step 5: Solve for x
   x = 210,155,760.56/10,222.50
6. Step 6: Final answer
   x = 20,558.16