Finding the Third Proportional to 37,005 and 80,250

Step by Step Solution

1. Step 1: Write the proportion equation
   37,005 : 80,250 = 80,250 : x
2. Step 2: Convert to fraction form
   37,005/80,250 = 80,250/x
3. Step 3: Cross multiply
   37,005x = 80,250 × 80,250
4. Step 4: Simplify right side
   37,005x = 6,440,062,500
5. Step 5: Solve for x
   x = 6,440,062,500/37,005
6. Step 6: Final answer
   x = 174,032.23