Finding the Third Proportional to 12,314 and 27,022

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 27,022 = 27,022 : x
2. Step 2: Convert to fraction form
   12,314/27,022 = 27,022/x
3. Step 3: Cross multiply
   12,314x = 27,022 × 27,022
4. Step 4: Simplify right side
   12,314x = 730,188,484
5. Step 5: Solve for x
   x = 730,188,484/12,314
6. Step 6: Final answer
   x = 59,297.42