Finding the Third Proportional to 23,106 and 34,868

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 34,868 = 34,868 : x
2. Step 2: Convert to fraction form
   23,106/34,868 = 34,868/x
3. Step 3: Cross multiply
   23,106x = 34,868 × 34,868
4. Step 4: Simplify right side
   23,106x = 1,215,777,424
5. Step 5: Solve for x
   x = 1,215,777,424/23,106
6. Step 6: Final answer
   x = 52,617.39