Finding the Third Proportional to 12,778 and 27,500

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778 : 27,500 = 27,500 : x
2. Step 2: Convert to fraction form
   12,778/27,500 = 27,500/x
3. Step 3: Cross multiply
   12,778x = 27,500 × 27,500
4. Step 4: Simplify right side
   12,778x = 756,250,000
5. Step 5: Solve for x
   x = 756,250,000/12,778
6. Step 6: Final answer
   x = 59,183.75