Finding the Third Proportional to 1,587.56 and 3,404.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.56 : 3,404.63 = 3,404.63 : x
2. Step 2: Convert to fraction form
   1,587.56/3,404.63 = 3,404.63/x
3. Step 3: Cross multiply
   1,587.56x = 3,404.63 × 3,404.63
4. Step 4: Simplify right side
   1,587.56x = 11,591,471.39
5. Step 5: Solve for x
   x = 11,591,471.39/1,587.56
6. Step 6: Final answer
   x = 7,301.43