Finding the Third Proportional to 23,209 and 31,008

Step by Step Solution

1. Step 1: Write the proportion equation
   23,209 : 31,008 = 31,008 : x
2. Step 2: Convert to fraction form
   23,209/31,008 = 31,008/x
3. Step 3: Cross multiply
   23,209x = 31,008 × 31,008
4. Step 4: Simplify right side
   23,209x = 961,496,064
5. Step 5: Solve for x
   x = 961,496,064/23,209
6. Step 6: Final answer
   x = 41,427.72