Finding the Third Proportional to 9,256.50 and 14,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.50 : 14,431.50 = 14,431.50 : x
2. Step 2: Convert to fraction form
   9,256.50/14,431.50 = 14,431.50/x
3. Step 3: Cross multiply
   9,256.50x = 14,431.50 × 14,431.50
4. Step 4: Simplify right side
   9,256.50x = 208,268,192.25
5. Step 5: Solve for x
   x = 208,268,192.25/9,256.50
6. Step 6: Final answer
   x = 22,499.67