Finding the Third Proportional to 9,197 and 19,690

Step by Step Solution

1. Step 1: Write the proportion equation
   9,197 : 19,690 = 19,690 : x
2. Step 2: Convert to fraction form
   9,197/19,690 = 19,690/x
3. Step 3: Cross multiply
   9,197x = 19,690 × 19,690
4. Step 4: Simplify right side
   9,197x = 387,696,100
5. Step 5: Solve for x
   x = 387,696,100/9,197
6. Step 6: Final answer
   x = 42,154.63