Finding the Third Proportional to 9,065 and 19,501

Step by Step Solution

1. Step 1: Write the proportion equation
   9,065 : 19,501 = 19,501 : x
2. Step 2: Convert to fraction form
   9,065/19,501 = 19,501/x
3. Step 3: Cross multiply
   9,065x = 19,501 × 19,501
4. Step 4: Simplify right side
   9,065x = 380,289,001
5. Step 5: Solve for x
   x = 380,289,001/9,065
6. Step 6: Final answer
   x = 41,951.35