Finding the Third Proportional to 2,661.25 and 5,839.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.25 : 5,839.25 = 5,839.25 : x
2. Step 2: Convert to fraction form
   2,661.25/5,839.25 = 5,839.25/x
3. Step 3: Cross multiply
   2,661.25x = 5,839.25 × 5,839.25
4. Step 4: Simplify right side
   2,661.25x = 34,096,840.56
5. Step 5: Solve for x
   x = 34,096,840.56/2,661.25
6. Step 6: Final answer
   x = 12,812.34