Finding the Third Proportional to 34,267 and 51,401

Step by Step Solution

1. Step 1: Write the proportion equation
   34,267 : 51,401 = 51,401 : x
2. Step 2: Convert to fraction form
   34,267/51,401 = 51,401/x
3. Step 3: Cross multiply
   34,267x = 51,401 × 51,401
4. Step 4: Simplify right side
   34,267x = 2,642,062,801
5. Step 5: Solve for x
   x = 2,642,062,801/34,267
6. Step 6: Final answer
   x = 77,102.25