Finding the Third Proportional to 42,674 and 67,830

Step by Step Solution

1. Step 1: Write the proportion equation
   42,674 : 67,830 = 67,830 : x
2. Step 2: Convert to fraction form
   42,674/67,830 = 67,830/x
3. Step 3: Cross multiply
   42,674x = 67,830 × 67,830
4. Step 4: Simplify right side
   42,674x = 4,600,908,900
5. Step 5: Solve for x
   x = 4,600,908,900/42,674
6. Step 6: Final answer
   x = 107,815.27