Finding the Third Proportional to 1,022.55 and 1,621.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.55 : 1,621.83 = 1,621.83 : x
2. Step 2: Convert to fraction form
   1,022.55/1,621.83 = 1,621.83/x
3. Step 3: Cross multiply
   1,022.55x = 1,621.83 × 1,621.83
4. Step 4: Simplify right side
   1,022.55x = 2,630,326.47
5. Step 5: Solve for x
   x = 2,630,326.47/1,022.55
6. Step 6: Final answer
   x = 2,572.31