Finding the Third Proportional to 40,423 and 82,790

Step by Step Solution

1. Step 1: Write the proportion equation
   40,423 : 82,790 = 82,790 : x
2. Step 2: Convert to fraction form
   40,423/82,790 = 82,790/x
3. Step 3: Cross multiply
   40,423x = 82,790 × 82,790
4. Step 4: Simplify right side
   40,423x = 6,854,184,100
5. Step 5: Solve for x
   x = 6,854,184,100/40,423
6. Step 6: Final answer
   x = 169,561.49