Finding the Third Proportional to 12,002 and 27,797

Step by Step Solution

1. Step 1: Write the proportion equation
   12,002 : 27,797 = 27,797 : x
2. Step 2: Convert to fraction form
   12,002/27,797 = 27,797/x
3. Step 3: Cross multiply
   12,002x = 27,797 × 27,797
4. Step 4: Simplify right side
   12,002x = 772,673,209
5. Step 5: Solve for x
   x = 772,673,209/12,002
6. Step 6: Final answer
   x = 64,378.70