Finding the Third Proportional to 42,406 and 67,138

Step by Step Solution

1. Step 1: Write the proportion equation
   42,406 : 67,138 = 67,138 : x
2. Step 2: Convert to fraction form
   42,406/67,138 = 67,138/x
3. Step 3: Cross multiply
   42,406x = 67,138 × 67,138
4. Step 4: Simplify right side
   42,406x = 4,507,511,044
5. Step 5: Solve for x
   x = 4,507,511,044/42,406
6. Step 6: Final answer
   x = 106,294.18