Finding the Third Proportional to 2,709.50 and 5,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709.50 : 5,633.50 = 5,633.50 : x
2. Step 2: Convert to fraction form
   2,709.50/5,633.50 = 5,633.50/x
3. Step 3: Cross multiply
   2,709.50x = 5,633.50 × 5,633.50
4. Step 4: Simplify right side
   2,709.50x = 31,736,322.25
5. Step 5: Solve for x
   x = 31,736,322.25/2,709.50
6. Step 6: Final answer
   x = 11,712.98