Finding the Third Proportional to 1,022.06 and 1,620.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 1,620.84 = 1,620.84 : x
2. Step 2: Convert to fraction form
   1,022.06/1,620.84 = 1,620.84/x
3. Step 3: Cross multiply
   1,022.06x = 1,620.84 × 1,620.84
4. Step 4: Simplify right side
   1,022.06x = 2,627,134.46
5. Step 5: Solve for x
   x = 2,627,134.46/1,022.06
6. Step 6: Final answer
   x = 2,570.42