Finding the Third Proportional to 5,884.13 and 12,577.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,884.13 : 12,577.69 = 12,577.69 : x
2. Step 2: Convert to fraction form
   5,884.13/12,577.69 = 12,577.69/x
3. Step 3: Cross multiply
   5,884.13x = 12,577.69 × 12,577.69
4. Step 4: Simplify right side
   5,884.13x = 158,198,222.85
5. Step 5: Solve for x
   x = 158,198,222.85/5,884.13
6. Step 6: Final answer
   x = 26,885.60