Finding the Third Proportional to 12,809 and 31,001

Step by Step Solution

1. Step 1: Write the proportion equation
   12,809 : 31,001 = 31,001 : x
2. Step 2: Convert to fraction form
   12,809/31,001 = 31,001/x
3. Step 3: Cross multiply
   12,809x = 31,001 × 31,001
4. Step 4: Simplify right side
   12,809x = 961,062,001
5. Step 5: Solve for x
   x = 961,062,001/12,809
6. Step 6: Final answer
   x = 75,030.21