Finding the Third Proportional to 1,259.75 and 2,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.75 : 2,711.50 = 2,711.50 : x
2. Step 2: Convert to fraction form
   1,259.75/2,711.50 = 2,711.50/x
3. Step 3: Cross multiply
   1,259.75x = 2,711.50 × 2,711.50
4. Step 4: Simplify right side
   1,259.75x = 7,352,232.25
5. Step 5: Solve for x
   x = 7,352,232.25/1,259.75
6. Step 6: Final answer
   x = 5,836.26