Finding the Third Proportional to 17,822 and 23,983

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 23,983 = 23,983 : x
2. Step 2: Convert to fraction form
   17,822/23,983 = 23,983/x
3. Step 3: Cross multiply
   17,822x = 23,983 × 23,983
4. Step 4: Simplify right side
   17,822x = 575,184,289
5. Step 5: Solve for x
   x = 575,184,289/17,822
6. Step 6: Final answer
   x = 32,273.84