Finding the Third Proportional to 5,884.50 and 12,587.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,884.50 : 12,587.25 = 12,587.25 : x
2. Step 2: Convert to fraction form
   5,884.50/12,587.25 = 12,587.25/x
3. Step 3: Cross multiply
   5,884.50x = 12,587.25 × 12,587.25
4. Step 4: Simplify right side
   5,884.50x = 158,438,862.56
5. Step 5: Solve for x
   x = 158,438,862.56/5,884.50
6. Step 6: Final answer
   x = 26,924.78