Finding the Third Proportional to 37,026.50 and 80,205.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,026.50 : 80,205.75 = 80,205.75 : x
2. Step 2: Convert to fraction form
   37,026.50/80,205.75 = 80,205.75/x
3. Step 3: Cross multiply
   37,026.50x = 80,205.75 × 80,205.75
4. Step 4: Simplify right side
   37,026.50x = 6,432,962,333.06
5. Step 5: Solve for x
   x = 6,432,962,333.06/37,026.50
6. Step 6: Final answer
   x = 173,739.41