Finding the Third Proportional to 2,251.69 and 2,656.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,251.69 : 2,656.69 = 2,656.69 : x
2. Step 2: Convert to fraction form
   2,251.69/2,656.69 = 2,656.69/x
3. Step 3: Cross multiply
   2,251.69x = 2,656.69 × 2,656.69
4. Step 4: Simplify right side
   2,251.69x = 7,057,988.47
5. Step 5: Solve for x
   x = 7,057,988.47/2,251.69
6. Step 6: Final answer
   x = 3,134.53