Finding the Third Proportional to 2,512.88 and 5,842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512.88 : 5,842.88 = 5,842.88 : x
2. Step 2: Convert to fraction form
   2,512.88/5,842.88 = 5,842.88/x
3. Step 3: Cross multiply
   2,512.88x = 5,842.88 × 5,842.88
4. Step 4: Simplify right side
   2,512.88x = 34,139,188.27
5. Step 5: Solve for x
   x = 34,139,188.27/2,512.88
6. Step 6: Final answer
   x = 13,585.71