Finding the Third Proportional to 9,348.50 and 16,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,348.50 : 16,128.50 = 16,128.50 : x
2. Step 2: Convert to fraction form
   9,348.50/16,128.50 = 16,128.50/x
3. Step 3: Cross multiply
   9,348.50x = 16,128.50 × 16,128.50
4. Step 4: Simplify right side
   9,348.50x = 260,128,512.25
5. Step 5: Solve for x
   x = 260,128,512.25/9,348.50
6. Step 6: Final answer
   x = 27,825.70