Finding the Third Proportional to 37,742 and 82,034

Step by Step Solution

1. Step 1: Write the proportion equation
   37,742 : 82,034 = 82,034 : x
2. Step 2: Convert to fraction form
   37,742/82,034 = 82,034/x
3. Step 3: Cross multiply
   37,742x = 82,034 × 82,034
4. Step 4: Simplify right side
   37,742x = 6,729,577,156
5. Step 5: Solve for x
   x = 6,729,577,156/37,742
6. Step 6: Final answer
   x = 178,304.73