Finding the Third Proportional to 816.61 and 1,771.59

Step by Step Solution

1. Step 1: Write the proportion equation
   816.61 : 1,771.59 = 1,771.59 : x
2. Step 2: Convert to fraction form
   816.61/1,771.59 = 1,771.59/x
3. Step 3: Cross multiply
   816.61x = 1,771.59 × 1,771.59
4. Step 4: Simplify right side
   816.61x = 3,138,544.42
5. Step 5: Solve for x
   x = 3,138,544.42/816.61
6. Step 6: Final answer
   x = 3,843.39