Finding the Third Proportional to 14,256 and 33,311.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256 : 33,311.25 = 33,311.25 : x
2. Step 2: Convert to fraction form
   14,256/33,311.25 = 33,311.25/x
3. Step 3: Cross multiply
   14,256x = 33,311.25 × 33,311.25
4. Step 4: Simplify right side
   14,256x = 1,109,639,376.56
5. Step 5: Solve for x
   x = 1,109,639,376.56/14,256
6. Step 6: Final answer
   x = 77,836.66