Finding the Third Proportional to 6,864 and 15,066

Step by Step Solution

1. Step 1: Write the proportion equation
   6,864 : 15,066 = 15,066 : x
2. Step 2: Convert to fraction form
   6,864/15,066 = 15,066/x
3. Step 3: Cross multiply
   6,864x = 15,066 × 15,066
4. Step 4: Simplify right side
   6,864x = 226,984,356
5. Step 5: Solve for x
   x = 226,984,356/6,864
6. Step 6: Final answer
   x = 33,068.82