Finding the Third Proportional to 13,916 and 17,633

Step by Step Solution

1. Step 1: Write the proportion equation
   13,916 : 17,633 = 17,633 : x
2. Step 2: Convert to fraction form
   13,916/17,633 = 17,633/x
3. Step 3: Cross multiply
   13,916x = 17,633 × 17,633
4. Step 4: Simplify right side
   13,916x = 310,922,689
5. Step 5: Solve for x
   x = 310,922,689/13,916
6. Step 6: Final answer
   x = 22,342.82