Finding the Third Proportional to 26,072 and 41,978

Step by Step Solution

1. Step 1: Write the proportion equation
   26,072 : 41,978 = 41,978 : x
2. Step 2: Convert to fraction form
   26,072/41,978 = 41,978/x
3. Step 3: Cross multiply
   26,072x = 41,978 × 41,978
4. Step 4: Simplify right side
   26,072x = 1,762,152,484
5. Step 5: Solve for x
   x = 1,762,152,484/26,072
6. Step 6: Final answer
   x = 67,587.93