Finding the Third Proportional to 13,986 and 21,830

Step by Step Solution

1. Step 1: Write the proportion equation
   13,986 : 21,830 = 21,830 : x
2. Step 2: Convert to fraction form
   13,986/21,830 = 21,830/x
3. Step 3: Cross multiply
   13,986x = 21,830 × 21,830
4. Step 4: Simplify right side
   13,986x = 476,548,900
5. Step 5: Solve for x
   x = 476,548,900/13,986
6. Step 6: Final answer
   x = 34,073.28