Finding the Third Proportional to 5,784 and 13,900

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784 : 13,900 = 13,900 : x
2. Step 2: Convert to fraction form
   5,784/13,900 = 13,900/x
3. Step 3: Cross multiply
   5,784x = 13,900 × 13,900
4. Step 4: Simplify right side
   5,784x = 193,210,000
5. Step 5: Solve for x
   x = 193,210,000/5,784
6. Step 6: Final answer
   x = 33,404.22