Finding the Third Proportional to 26,998 and 42,267

Step by Step Solution

1. Step 1: Write the proportion equation
   26,998 : 42,267 = 42,267 : x
2. Step 2: Convert to fraction form
   26,998/42,267 = 42,267/x
3. Step 3: Cross multiply
   26,998x = 42,267 × 42,267
4. Step 4: Simplify right side
   26,998x = 1,786,499,289
5. Step 5: Solve for x
   x = 1,786,499,289/26,998
6. Step 6: Final answer
   x = 66,171.54