Finding the Third Proportional to 1,022.63 and 1,569.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.63 : 1,569.38 = 1,569.38 : x
2. Step 2: Convert to fraction form
   1,022.63/1,569.38 = 1,569.38/x
3. Step 3: Cross multiply
   1,022.63x = 1,569.38 × 1,569.38
4. Step 4: Simplify right side
   1,022.63x = 2,462,937.89
5. Step 5: Solve for x
   x = 2,462,937.89/1,022.63
6. Step 6: Final answer
   x = 2,408.45