Finding the Third Proportional to 2,053.13 and 3,430.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.13 : 3,430.69 = 3,430.69 : x
2. Step 2: Convert to fraction form
   2,053.13/3,430.69 = 3,430.69/x
3. Step 3: Cross multiply
   2,053.13x = 3,430.69 × 3,430.69
4. Step 4: Simplify right side
   2,053.13x = 11,769,616.72
5. Step 5: Solve for x
   x = 11,769,616.72/2,053.13
6. Step 6: Final answer
   x = 5,732.54