Finding the Third Proportional to 5,784 and 13,500

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784 : 13,500 = 13,500 : x
2. Step 2: Convert to fraction form
   5,784/13,500 = 13,500/x
3. Step 3: Cross multiply
   5,784x = 13,500 × 13,500
4. Step 4: Simplify right side
   5,784x = 182,250,000
5. Step 5: Solve for x
   x = 182,250,000/5,784
6. Step 6: Final answer
   x = 31,509.34