Finding the Third Proportional to 37,671.89 and 80,586.91

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671.89 : 80,586.91 = 80,586.91 : x
2. Step 2: Convert to fraction form
   37,671.89/80,586.91 = 80,586.91/x
3. Step 3: Cross multiply
   37,671.89x = 80,586.91 × 80,586.91
4. Step 4: Simplify right side
   37,671.89x = 6,494,250,718.12
5. Step 5: Solve for x
   x = 6,494,250,718.12/37,671.89
6. Step 6: Final answer
   x = 172,389.83