Finding the Third Proportional to 38,389 and 83,066

Step by Step Solution

1. Step 1: Write the proportion equation
   38,389 : 83,066 = 83,066 : x
2. Step 2: Convert to fraction form
   38,389/83,066 = 83,066/x
3. Step 3: Cross multiply
   38,389x = 83,066 × 83,066
4. Step 4: Simplify right side
   38,389x = 6,899,960,356
5. Step 5: Solve for x
   x = 6,899,960,356/38,389
6. Step 6: Final answer
   x = 179,737.96