Finding the Third Proportional to 13,784 and 19,500

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784 : 19,500 = 19,500 : x
2. Step 2: Convert to fraction form
   13,784/19,500 = 19,500/x
3. Step 3: Cross multiply
   13,784x = 19,500 × 19,500
4. Step 4: Simplify right side
   13,784x = 380,250,000
5. Step 5: Solve for x
   x = 380,250,000/13,784
6. Step 6: Final answer
   x = 27,586.33