Finding the Third Proportional to 26,478 and 42,147

Step by Step Solution

1. Step 1: Write the proportion equation
   26,478 : 42,147 = 42,147 : x
2. Step 2: Convert to fraction form
   26,478/42,147 = 42,147/x
3. Step 3: Cross multiply
   26,478x = 42,147 × 42,147
4. Step 4: Simplify right side
   26,478x = 1,776,369,609
5. Step 5: Solve for x
   x = 1,776,369,609/26,478
6. Step 6: Final answer
   x = 67,088.51