Finding the Third Proportional to 38,744 and 82,066

Step by Step Solution

1. Step 1: Write the proportion equation
   38,744 : 82,066 = 82,066 : x
2. Step 2: Convert to fraction form
   38,744/82,066 = 82,066/x
3. Step 3: Cross multiply
   38,744x = 82,066 × 82,066
4. Step 4: Simplify right side
   38,744x = 6,734,828,356
5. Step 5: Solve for x
   x = 6,734,828,356/38,744
6. Step 6: Final answer
   x = 173,828.94