Finding the Third Proportional to 10,404 and 18,501

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 18,501 = 18,501 : x
2. Step 2: Convert to fraction form
   10,404/18,501 = 18,501/x
3. Step 3: Cross multiply
   10,404x = 18,501 × 18,501
4. Step 4: Simplify right side
   10,404x = 342,287,001
5. Step 5: Solve for x
   x = 342,287,001/10,404
6. Step 6: Final answer
   x = 32,899.56