Finding the Third Proportional to 13,836 and 15,564

Step by Step Solution

1. Step 1: Write the proportion equation
   13,836 : 15,564 = 15,564 : x
2. Step 2: Convert to fraction form
   13,836/15,564 = 15,564/x
3. Step 3: Cross multiply
   13,836x = 15,564 × 15,564
4. Step 4: Simplify right side
   13,836x = 242,238,096
5. Step 5: Solve for x
   x = 242,238,096/13,836
6. Step 6: Final answer
   x = 17,507.81