Finding the Third Proportional to 9,200.25 and 14,272.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.25 : 14,272.88 = 14,272.88 : x
2. Step 2: Convert to fraction form
   9,200.25/14,272.88 = 14,272.88/x
3. Step 3: Cross multiply
   9,200.25x = 14,272.88 × 14,272.88
4. Step 4: Simplify right side
   9,200.25x = 203,714,960.77
5. Step 5: Solve for x
   x = 203,714,960.77/9,200.25
6. Step 6: Final answer
   x = 22,142.33