Finding the Third Proportional to 2,511.56 and 3,607.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.56 : 3,607.88 = 3,607.88 : x
2. Step 2: Convert to fraction form
   2,511.56/3,607.88 = 3,607.88/x
3. Step 3: Cross multiply
   2,511.56x = 3,607.88 × 3,607.88
4. Step 4: Simplify right side
   2,511.56x = 13,016,762.02
5. Step 5: Solve for x
   x = 13,016,762.02/2,511.56
6. Step 6: Final answer
   x = 5,182.73