Finding the Third Proportional to 1,587.09 and 3,447.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.09 : 3,447.56 = 3,447.56 : x
2. Step 2: Convert to fraction form
   1,587.09/3,447.56 = 3,447.56/x
3. Step 3: Cross multiply
   1,587.09x = 3,447.56 × 3,447.56
4. Step 4: Simplify right side
   1,587.09x = 11,885,687.19
5. Step 5: Solve for x
   x = 11,885,687.19/1,587.09
6. Step 6: Final answer
   x = 7,488.96