Finding the Third Proportional to 17,906 and 19,742

Step by Step Solution

1. Step 1: Write the proportion equation
   17,906 : 19,742 = 19,742 : x
2. Step 2: Convert to fraction form
   17,906/19,742 = 19,742/x
3. Step 3: Cross multiply
   17,906x = 19,742 × 19,742
4. Step 4: Simplify right side
   17,906x = 389,746,564
5. Step 5: Solve for x
   x = 389,746,564/17,906
6. Step 6: Final answer
   x = 21,766.26