Finding the Third Proportional to 37,155.75 and 80,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,155.75 : 80,872.50 = 80,872.50 : x
2. Step 2: Convert to fraction form
   37,155.75/80,872.50 = 80,872.50/x
3. Step 3: Cross multiply
   37,155.75x = 80,872.50 × 80,872.50
4. Step 4: Simplify right side
   37,155.75x = 6,540,361,256.25
5. Step 5: Solve for x
   x = 6,540,361,256.25/37,155.75
6. Step 6: Final answer
   x = 176,025.55