Finding the Third Proportional to 42,413 and 67,508

Step by Step Solution

1. Step 1: Write the proportion equation
   42,413 : 67,508 = 67,508 : x
2. Step 2: Convert to fraction form
   42,413/67,508 = 67,508/x
3. Step 3: Cross multiply
   42,413x = 67,508 × 67,508
4. Step 4: Simplify right side
   42,413x = 4,557,330,064
5. Step 5: Solve for x
   x = 4,557,330,064/42,413
6. Step 6: Final answer
   x = 107,451.25