Finding the Third Proportional to 5,834 and 12,807

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834 : 12,807 = 12,807 : x
2. Step 2: Convert to fraction form
   5,834/12,807 = 12,807/x
3. Step 3: Cross multiply
   5,834x = 12,807 × 12,807
4. Step 4: Simplify right side
   5,834x = 164,019,249
5. Step 5: Solve for x
   x = 164,019,249/5,834
6. Step 6: Final answer
   x = 28,114.37