Finding the Third Proportional to 2,511.91 and 3,695.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.91 : 3,695.27 = 3,695.27 : x
2. Step 2: Convert to fraction form
   2,511.91/3,695.27 = 3,695.27/x
3. Step 3: Cross multiply
   2,511.91x = 3,695.27 × 3,695.27
4. Step 4: Simplify right side
   2,511.91x = 13,655,045.78
5. Step 5: Solve for x
   x = 13,655,045.78/2,511.91
6. Step 6: Final answer
   x = 5,436.11