Finding the Third Proportional to 9,066 and 18,501

Step by Step Solution

1. Step 1: Write the proportion equation
   9,066 : 18,501 = 18,501 : x
2. Step 2: Convert to fraction form
   9,066/18,501 = 18,501/x
3. Step 3: Cross multiply
   9,066x = 18,501 × 18,501
4. Step 4: Simplify right side
   9,066x = 342,287,001
5. Step 5: Solve for x
   x = 342,287,001/9,066
6. Step 6: Final answer
   x = 37,755.02