Finding the Third Proportional to 42,428 and 67,168

Step by Step Solution

1. Step 1: Write the proportion equation
   42,428 : 67,168 = 67,168 : x
2. Step 2: Convert to fraction form
   42,428/67,168 = 67,168/x
3. Step 3: Cross multiply
   42,428x = 67,168 × 67,168
4. Step 4: Simplify right side
   42,428x = 4,511,540,224
5. Step 5: Solve for x
   x = 4,511,540,224/42,428
6. Step 6: Final answer
   x = 106,334.03