Finding the Third Proportional to 37,740 and 82,040

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 82,040 = 82,040 : x
2. Step 2: Convert to fraction form
   37,740/82,040 = 82,040/x
3. Step 3: Cross multiply
   37,740x = 82,040 × 82,040
4. Step 4: Simplify right side
   37,740x = 6,730,561,600
5. Step 5: Solve for x
   x = 6,730,561,600/37,740
6. Step 6: Final answer
   x = 178,340.26