Finding the Third Proportional to 2,710.25 and 5,830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,710.25 : 5,830.75 = 5,830.75 : x
2. Step 2: Convert to fraction form
   2,710.25/5,830.75 = 5,830.75/x
3. Step 3: Cross multiply
   2,710.25x = 5,830.75 × 5,830.75
4. Step 4: Simplify right side
   2,710.25x = 33,997,645.56
5. Step 5: Solve for x
   x = 33,997,645.56/2,710.25
6. Step 6: Final answer
   x = 12,544.10