Finding the Third Proportional to 2,107.69 and 3,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.69 : 3,349.50 = 3,349.50 : x
2. Step 2: Convert to fraction form
   2,107.69/3,349.50 = 3,349.50/x
3. Step 3: Cross multiply
   2,107.69x = 3,349.50 × 3,349.50
4. Step 4: Simplify right side
   2,107.69x = 11,219,150.25
5. Step 5: Solve for x
   x = 11,219,150.25/2,107.69
6. Step 6: Final answer
   x = 5,322.97