Finding the Third Proportional to 42,649 and 67,800

Step by Step Solution

1. Step 1: Write the proportion equation
   42,649 : 67,800 = 67,800 : x
2. Step 2: Convert to fraction form
   42,649/67,800 = 67,800/x
3. Step 3: Cross multiply
   42,649x = 67,800 × 67,800
4. Step 4: Simplify right side
   42,649x = 4,596,840,000
5. Step 5: Solve for x
   x = 4,596,840,000/42,649
6. Step 6: Final answer
   x = 107,783.07