Finding the Third Proportional to 1,022.06 and 2,072.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 2,072.81 = 2,072.81 : x
2. Step 2: Convert to fraction form
   1,022.06/2,072.81 = 2,072.81/x
3. Step 3: Cross multiply
   1,022.06x = 2,072.81 × 2,072.81
4. Step 4: Simplify right side
   1,022.06x = 4,296,551.66
5. Step 5: Solve for x
   x = 4,296,551.66/1,022.06
6. Step 6: Final answer
   x = 4,203.81