Finding the Third Proportional to 10,185 and 13,963

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 13,963 = 13,963 : x
2. Step 2: Convert to fraction form
   10,185/13,963 = 13,963/x
3. Step 3: Cross multiply
   10,185x = 13,963 × 13,963
4. Step 4: Simplify right side
   10,185x = 194,965,369
5. Step 5: Solve for x
   x = 194,965,369/10,185
6. Step 6: Final answer
   x = 19,142.40