Finding the Third Proportional to 11,810 and 27,797

Step by Step Solution

1. Step 1: Write the proportion equation
   11,810 : 27,797 = 27,797 : x
2. Step 2: Convert to fraction form
   11,810/27,797 = 27,797/x
3. Step 3: Cross multiply
   11,810x = 27,797 × 27,797
4. Step 4: Simplify right side
   11,810x = 772,673,209
5. Step 5: Solve for x
   x = 772,673,209/11,810
6. Step 6: Final answer
   x = 65,425.34