Finding the Third Proportional to 7,746 and 18,066

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746 : 18,066 = 18,066 : x
2. Step 2: Convert to fraction form
   7,746/18,066 = 18,066/x
3. Step 3: Cross multiply
   7,746x = 18,066 × 18,066
4. Step 4: Simplify right side
   7,746x = 326,380,356
5. Step 5: Solve for x
   x = 326,380,356/7,746
6. Step 6: Final answer
   x = 42,135.34