Finding the Third Proportional to 10,291.50 and 14,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.50 : 14,222.25 = 14,222.25 : x
2. Step 2: Convert to fraction form
   10,291.50/14,222.25 = 14,222.25/x
3. Step 3: Cross multiply
   10,291.50x = 14,222.25 × 14,222.25
4. Step 4: Simplify right side
   10,291.50x = 202,272,395.06
5. Step 5: Solve for x
   x = 202,272,395.06/10,291.50
6. Step 6: Final answer
   x = 19,654.32