Finding the Third Proportional to 2,509.31 and 3,511.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.31 : 3,511.69 = 3,511.69 : x
2. Step 2: Convert to fraction form
   2,509.31/3,511.69 = 3,511.69/x
3. Step 3: Cross multiply
   2,509.31x = 3,511.69 × 3,511.69
4. Step 4: Simplify right side
   2,509.31x = 12,331,949.10
5. Step 5: Solve for x
   x = 12,331,949.10/2,509.31
6. Step 6: Final answer
   x = 4,914.47