Finding the Third Proportional to 12,868 and 27,662

Step by Step Solution

1. Step 1: Write the proportion equation
   12,868 : 27,662 = 27,662 : x
2. Step 2: Convert to fraction form
   12,868/27,662 = 27,662/x
3. Step 3: Cross multiply
   12,868x = 27,662 × 27,662
4. Step 4: Simplify right side
   12,868x = 765,186,244
5. Step 5: Solve for x
   x = 765,186,244/12,868
6. Step 6: Final answer
   x = 59,464.27