Finding the Third Proportional to 11,178 and 13,536

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 13,536 = 13,536 : x
2. Step 2: Convert to fraction form
   11,178/13,536 = 13,536/x
3. Step 3: Cross multiply
   11,178x = 13,536 × 13,536
4. Step 4: Simplify right side
   11,178x = 183,223,296
5. Step 5: Solve for x
   x = 183,223,296/11,178
6. Step 6: Final answer
   x = 16,391.42