Finding the Third Proportional to 1,265.63 and 1,855.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.63 : 1,855.69 = 1,855.69 : x
2. Step 2: Convert to fraction form
   1,265.63/1,855.69 = 1,855.69/x
3. Step 3: Cross multiply
   1,265.63x = 1,855.69 × 1,855.69
4. Step 4: Simplify right side
   1,265.63x = 3,443,576.10
5. Step 5: Solve for x
   x = 3,443,576.10/1,265.63
6. Step 6: Final answer
   x = 2,720.85