Finding the Third Proportional to 1,262.81 and 1,807.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.81 : 1,807.59 = 1,807.59 : x
2. Step 2: Convert to fraction form
   1,262.81/1,807.59 = 1,807.59/x
3. Step 3: Cross multiply
   1,262.81x = 1,807.59 × 1,807.59
4. Step 4: Simplify right side
   1,262.81x = 3,267,395.17
5. Step 5: Solve for x
   x = 3,267,395.17/1,262.81
6. Step 6: Final answer
   x = 2,587.40