Finding the Third Proportional to 26,096 and 34,958

Step by Step Solution

1. Step 1: Write the proportion equation
   26,096 : 34,958 = 34,958 : x
2. Step 2: Convert to fraction form
   26,096/34,958 = 34,958/x
3. Step 3: Cross multiply
   26,096x = 34,958 × 34,958
4. Step 4: Simplify right side
   26,096x = 1,222,061,764
5. Step 5: Solve for x
   x = 1,222,061,764/26,096
6. Step 6: Final answer
   x = 46,829.47