Finding the Third Proportional to 38,426.27 and 82,593.42

Step by Step Solution

1. Step 1: Write the proportion equation
   38,426.27 : 82,593.42 = 82,593.42 : x
2. Step 2: Convert to fraction form
   38,426.27/82,593.42 = 82,593.42/x
3. Step 3: Cross multiply
   38,426.27x = 82,593.42 × 82,593.42
4. Step 4: Simplify right side
   38,426.27x = 6,821,673,337.02
5. Step 5: Solve for x
   x = 6,821,673,337.02/38,426.27
6. Step 6: Final answer
   x = 177,526.28