Finding the Third Proportional to 1,259.50 and 2,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.50 : 2,782.25 = 2,782.25 : x
2. Step 2: Convert to fraction form
   1,259.50/2,782.25 = 2,782.25/x
3. Step 3: Cross multiply
   1,259.50x = 2,782.25 × 2,782.25
4. Step 4: Simplify right side
   1,259.50x = 7,740,915.06
5. Step 5: Solve for x
   x = 7,740,915.06/1,259.50
6. Step 6: Final answer
   x = 6,146.02