Finding the Third Proportional to 38,642 and 80,620

Step by Step Solution

1. Step 1: Write the proportion equation
   38,642 : 80,620 = 80,620 : x
2. Step 2: Convert to fraction form
   38,642/80,620 = 80,620/x
3. Step 3: Cross multiply
   38,642x = 80,620 × 80,620
4. Step 4: Simplify right side
   38,642x = 6,499,584,400
5. Step 5: Solve for x
   x = 6,499,584,400/38,642
6. Step 6: Final answer
   x = 168,200