Finding the Third Proportional to 9,093 and 14,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,093 : 14,128.50 = 14,128.50 : x
2. Step 2: Convert to fraction form
   9,093/14,128.50 = 14,128.50/x
3. Step 3: Cross multiply
   9,093x = 14,128.50 × 14,128.50
4. Step 4: Simplify right side
   9,093x = 199,614,512.25
5. Step 5: Solve for x
   x = 199,614,512.25/9,093
6. Step 6: Final answer
   x = 21,952.55