Finding the Third Proportional to 10,836 and 15,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836 : 15,066 = 15,066 : x
2. Step 2: Convert to fraction form
   10,836/15,066 = 15,066/x
3. Step 3: Cross multiply
   10,836x = 15,066 × 15,066
4. Step 4: Simplify right side
   10,836x = 226,984,356
5. Step 5: Solve for x
   x = 226,984,356/10,836
6. Step 6: Final answer
   x = 20,947.25