Finding the Third Proportional to 9,161 and 19,507

Step by Step Solution

1. Step 1: Write the proportion equation
   9,161 : 19,507 = 19,507 : x
2. Step 2: Convert to fraction form
   9,161/19,507 = 19,507/x
3. Step 3: Cross multiply
   9,161x = 19,507 × 19,507
4. Step 4: Simplify right side
   9,161x = 380,523,049
5. Step 5: Solve for x
   x = 380,523,049/9,161
6. Step 6: Final answer
   x = 41,537.28