Finding the Third Proportional to 2,634.61 and 5,827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634.61 : 5,827.15 = 5,827.15 : x
2. Step 2: Convert to fraction form
   2,634.61/5,827.15 = 5,827.15/x
3. Step 3: Cross multiply
   2,634.61x = 5,827.15 × 5,827.15
4. Step 4: Simplify right side
   2,634.61x = 33,955,658.91
5. Step 5: Solve for x
   x = 33,955,658.91/2,634.61
6. Step 6: Final answer
   x = 12,888.31