Finding the Third Proportional to 7,846 and 18,401

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846 : 18,401 = 18,401 : x
2. Step 2: Convert to fraction form
   7,846/18,401 = 18,401/x
3. Step 3: Cross multiply
   7,846x = 18,401 × 18,401
4. Step 4: Simplify right side
   7,846x = 338,596,801
5. Step 5: Solve for x
   x = 338,596,801/7,846
6. Step 6: Final answer
   x = 43,155.34