Finding the Third Proportional to 1,234.13 and 2,725.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,234.13 : 2,725.88 = 2,725.88 : x
2. Step 2: Convert to fraction form
   1,234.13/2,725.88 = 2,725.88/x
3. Step 3: Cross multiply
   1,234.13x = 2,725.88 × 2,725.88
4. Step 4: Simplify right side
   1,234.13x = 7,430,394.52
5. Step 5: Solve for x
   x = 7,430,394.52/1,234.13
6. Step 6: Final answer
   x = 6,020.78