Finding the Third Proportional to 31,436 and 68,401

Step by Step Solution

1. Step 1: Write the proportion equation
   31,436 : 68,401 = 68,401 : x
2. Step 2: Convert to fraction form
   31,436/68,401 = 68,401/x
3. Step 3: Cross multiply
   31,436x = 68,401 × 68,401
4. Step 4: Simplify right side
   31,436x = 4,678,696,801
5. Step 5: Solve for x
   x = 4,678,696,801/31,436
6. Step 6: Final answer
   x = 148,832.45