Finding the Third Proportional to 2,053.69 and 3,209.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.69 : 3,209.63 = 3,209.63 : x
2. Step 2: Convert to fraction form
   2,053.69/3,209.63 = 3,209.63/x
3. Step 3: Cross multiply
   2,053.69x = 3,209.63 × 3,209.63
4. Step 4: Simplify right side
   2,053.69x = 10,301,692.64
5. Step 5: Solve for x
   x = 10,301,692.64/2,053.69
6. Step 6: Final answer
   x = 5,016.19