Finding the Third Proportional to 33,257.75 and 72,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,257.75 : 72,256.50 = 72,256.50 : x
2. Step 2: Convert to fraction form
   33,257.75/72,256.50 = 72,256.50/x
3. Step 3: Cross multiply
   33,257.75x = 72,256.50 × 72,256.50
4. Step 4: Simplify right side
   33,257.75x = 5,221,001,792.25
5. Step 5: Solve for x
   x = 5,221,001,792.25/33,257.75
6. Step 6: Final answer
   x = 156,986.02