Finding the Third Proportional to 23,178 and 34,874

Step by Step Solution

1. Step 1: Write the proportion equation
   23,178 : 34,874 = 34,874 : x
2. Step 2: Convert to fraction form
   23,178/34,874 = 34,874/x
3. Step 3: Cross multiply
   23,178x = 34,874 × 34,874
4. Step 4: Simplify right side
   23,178x = 1,216,195,876
5. Step 5: Solve for x
   x = 1,216,195,876/23,178
6. Step 6: Final answer
   x = 52,471.99