Finding the Third Proportional to 42,546 and 67,339

Step by Step Solution

1. Step 1: Write the proportion equation
   42,546 : 67,339 = 67,339 : x
2. Step 2: Convert to fraction form
   42,546/67,339 = 67,339/x
3. Step 3: Cross multiply
   42,546x = 67,339 × 67,339
4. Step 4: Simplify right side
   42,546x = 4,534,540,921
5. Step 5: Solve for x
   x = 4,534,540,921/42,546
6. Step 6: Final answer
   x = 106,579.72