Finding the Third Proportional to 9,149 and 19,685

Step by Step Solution

1. Step 1: Write the proportion equation
   9,149 : 19,685 = 19,685 : x
2. Step 2: Convert to fraction form
   9,149/19,685 = 19,685/x
3. Step 3: Cross multiply
   9,149x = 19,685 × 19,685
4. Step 4: Simplify right side
   9,149x = 387,499,225
5. Step 5: Solve for x
   x = 387,499,225/9,149
6. Step 6: Final answer
   x = 42,354.27