Finding the Third Proportional to 2,511.63 and 5,521.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.63 : 5,521.61 = 5,521.61 : x
2. Step 2: Convert to fraction form
   2,511.63/5,521.61 = 5,521.61/x
3. Step 3: Cross multiply
   2,511.63x = 5,521.61 × 5,521.61
4. Step 4: Simplify right side
   2,511.63x = 30,488,126.95
5. Step 5: Solve for x
   x = 30,488,126.95/2,511.63
6. Step 6: Final answer
   x = 12,138.77