Finding the Third Proportional to 9,066 and 18,358

Step by Step Solution

1. Step 1: Write the proportion equation
   9,066 : 18,358 = 18,358 : x
2. Step 2: Convert to fraction form
   9,066/18,358 = 18,358/x
3. Step 3: Cross multiply
   9,066x = 18,358 × 18,358
4. Step 4: Simplify right side
   9,066x = 337,016,164
5. Step 5: Solve for x
   x = 337,016,164/9,066
6. Step 6: Final answer
   x = 37,173.63