Finding the Third Proportional to 37,608.50 and 80,046.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,608.50 : 80,046.75 = 80,046.75 : x
2. Step 2: Convert to fraction form
   37,608.50/80,046.75 = 80,046.75/x
3. Step 3: Cross multiply
   37,608.50x = 80,046.75 × 80,046.75
4. Step 4: Simplify right side
   37,608.50x = 6,407,482,185.56
5. Step 5: Solve for x
   x = 6,407,482,185.56/37,608.50
6. Step 6: Final answer
   x = 170,373.25