Finding the Third Proportional to 1,032.75 and 2,435.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.75 : 2,435.63 = 2,435.63 : x
2. Step 2: Convert to fraction form
   1,032.75/2,435.63 = 2,435.63/x
3. Step 3: Cross multiply
   1,032.75x = 2,435.63 × 2,435.63
4. Step 4: Simplify right side
   1,032.75x = 5,932,269.14
5. Step 5: Solve for x
   x = 5,932,269.14/1,032.75
6. Step 6: Final answer
   x = 5,744.15