Finding the Third Proportional to 13,816 and 17,468

Step by Step Solution

1. Step 1: Write the proportion equation
   13,816 : 17,468 = 17,468 : x
2. Step 2: Convert to fraction form
   13,816/17,468 = 17,468/x
3. Step 3: Cross multiply
   13,816x = 17,468 × 17,468
4. Step 4: Simplify right side
   13,816x = 305,131,024
5. Step 5: Solve for x
   x = 305,131,024/13,816
6. Step 6: Final answer
   x = 22,085.34