Finding the Third Proportional to 5,823 and 13,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 13,144.50 = 13,144.50 : x
2. Step 2: Convert to fraction form
   5,823/13,144.50 = 13,144.50/x
3. Step 3: Cross multiply
   5,823x = 13,144.50 × 13,144.50
4. Step 4: Simplify right side
   5,823x = 172,777,880.25
5. Step 5: Solve for x
   x = 172,777,880.25/5,823
6. Step 6: Final answer
   x = 29,671.63