Finding the Third Proportional to 23,029 and 34,401

Step by Step Solution

1. Step 1: Write the proportion equation
   23,029 : 34,401 = 34,401 : x
2. Step 2: Convert to fraction form
   23,029/34,401 = 34,401/x
3. Step 3: Cross multiply
   23,029x = 34,401 × 34,401
4. Step 4: Simplify right side
   23,029x = 1,183,428,801
5. Step 5: Solve for x
   x = 1,183,428,801/23,029
6. Step 6: Final answer
   x = 51,388.63