Finding the Third Proportional to 10,222.50 and 14,889.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.50 : 14,889.75 = 14,889.75 : x
2. Step 2: Convert to fraction form
   10,222.50/14,889.75 = 14,889.75/x
3. Step 3: Cross multiply
   10,222.50x = 14,889.75 × 14,889.75
4. Step 4: Simplify right side
   10,222.50x = 221,704,655.06
5. Step 5: Solve for x
   x = 221,704,655.06/10,222.50
6. Step 6: Final answer
   x = 21,687.91