Finding the Third Proportional to 5,011.50 and 7,801

Step by Step Solution

1. Step 1: Write the proportion equation
   5,011.50 : 7,801 = 7,801 : x
2. Step 2: Convert to fraction form
   5,011.50/7,801 = 7,801/x
3. Step 3: Cross multiply
   5,011.50x = 7,801 × 7,801
4. Step 4: Simplify right side
   5,011.50x = 60,855,601
5. Step 5: Solve for x
   x = 60,855,601/5,011.50
6. Step 6: Final answer
   x = 12,143.19