Finding the Third Proportional to 1,036.55 and 2,265.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.55 : 2,265.89 = 2,265.89 : x
2. Step 2: Convert to fraction form
   1,036.55/2,265.89 = 2,265.89/x
3. Step 3: Cross multiply
   1,036.55x = 2,265.89 × 2,265.89
4. Step 4: Simplify right side
   1,036.55x = 5,134,260.32
5. Step 5: Solve for x
   x = 5,134,260.32/1,036.55
6. Step 6: Final answer
   x = 4,953.24