Finding the Third Proportional to 1,581.75 and 3,448.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.75 : 3,448.69 = 3,448.69 : x
2. Step 2: Convert to fraction form
   1,581.75/3,448.69 = 3,448.69/x
3. Step 3: Cross multiply
   1,581.75x = 3,448.69 × 3,448.69
4. Step 4: Simplify right side
   1,581.75x = 11,893,445.47
5. Step 5: Solve for x
   x = 11,893,445.47/1,581.75
6. Step 6: Final answer
   x = 7,519.17