Finding the Third Proportional to 7,646 and 16,066

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646 : 16,066 = 16,066 : x
2. Step 2: Convert to fraction form
   7,646/16,066 = 16,066/x
3. Step 3: Cross multiply
   7,646x = 16,066 × 16,066
4. Step 4: Simplify right side
   7,646x = 258,116,356
5. Step 5: Solve for x
   x = 258,116,356/7,646
6. Step 6: Final answer
   x = 33,758.35