Finding the Third Proportional to 12,499 and 26,401

Step by Step Solution

1. Step 1: Write the proportion equation
   12,499 : 26,401 = 26,401 : x
2. Step 2: Convert to fraction form
   12,499/26,401 = 26,401/x
3. Step 3: Cross multiply
   12,499x = 26,401 × 26,401
4. Step 4: Simplify right side
   12,499x = 697,012,801
5. Step 5: Solve for x
   x = 697,012,801/12,499
6. Step 6: Final answer
   x = 55,765.49