Finding the Third Proportional to 42,662 and 68,158

Step by Step Solution

1. Step 1: Write the proportion equation
   42,662 : 68,158 = 68,158 : x
2. Step 2: Convert to fraction form
   42,662/68,158 = 68,158/x
3. Step 3: Cross multiply
   42,662x = 68,158 × 68,158
4. Step 4: Simplify right side
   42,662x = 4,645,512,964
5. Step 5: Solve for x
   x = 4,645,512,964/42,662
6. Step 6: Final answer
   x = 108,891.12