Finding the Third Proportional to 36,961.31 and 80,919.42

Step by Step Solution

1. Step 1: Write the proportion equation
   36,961.31 : 80,919.42 = 80,919.42 : x
2. Step 2: Convert to fraction form
   36,961.31/80,919.42 = 80,919.42/x
3. Step 3: Cross multiply
   36,961.31x = 80,919.42 × 80,919.42
4. Step 4: Simplify right side
   36,961.31x = 6,547,952,836.58
5. Step 5: Solve for x
   x = 6,547,952,836.58/36,961.31
6. Step 6: Final answer
   x = 177,156.94