Finding the Third Proportional to 1,259.38 and 2,713.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.38 : 2,713.69 = 2,713.69 : x
2. Step 2: Convert to fraction form
   1,259.38/2,713.69 = 2,713.69/x
3. Step 3: Cross multiply
   1,259.38x = 2,713.69 × 2,713.69
4. Step 4: Simplify right side
   1,259.38x = 7,364,099.85
5. Step 5: Solve for x
   x = 7,364,099.85/1,259.38
6. Step 6: Final answer
   x = 5,847.42