Finding the Third Proportional to 10,152 and 13,656

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 13,656 = 13,656 : x
2. Step 2: Convert to fraction form
   10,152/13,656 = 13,656/x
3. Step 3: Cross multiply
   10,152x = 13,656 × 13,656
4. Step 4: Simplify right side
   10,152x = 186,486,336
5. Step 5: Solve for x
   x = 186,486,336/10,152
6. Step 6: Final answer
   x = 18,369.42