Finding the Third Proportional to 17,690 and 23,619

Step by Step Solution

1. Step 1: Write the proportion equation
   17,690 : 23,619 = 23,619 : x
2. Step 2: Convert to fraction form
   17,690/23,619 = 23,619/x
3. Step 3: Cross multiply
   17,690x = 23,619 × 23,619
4. Step 4: Simplify right side
   17,690x = 557,857,161
5. Step 5: Solve for x
   x = 557,857,161/17,690
6. Step 6: Final answer
   x = 31,535.17