Finding the Third Proportional to 11,800 and 27,820

Step by Step Solution

1. Step 1: Write the proportion equation
   11,800 : 27,820 = 27,820 : x
2. Step 2: Convert to fraction form
   11,800/27,820 = 27,820/x
3. Step 3: Cross multiply
   11,800x = 27,820 × 27,820
4. Step 4: Simplify right side
   11,800x = 773,952,400
5. Step 5: Solve for x
   x = 773,952,400/11,800
6. Step 6: Final answer
   x = 65,589.19