Finding the Third Proportional to 16,345 and 23,017

Step by Step Solution

1. Step 1: Write the proportion equation
   16,345 : 23,017 = 23,017 : x
2. Step 2: Convert to fraction form
   16,345/23,017 = 23,017/x
3. Step 3: Cross multiply
   16,345x = 23,017 × 23,017
4. Step 4: Simplify right side
   16,345x = 529,782,289
5. Step 5: Solve for x
   x = 529,782,289/16,345
6. Step 6: Final answer
   x = 32,412.50