Finding the Third Proportional to 31,993 and 69,809

Step by Step Solution

1. Step 1: Write the proportion equation
   31,993 : 69,809 = 69,809 : x
2. Step 2: Convert to fraction form
   31,993/69,809 = 69,809/x
3. Step 3: Cross multiply
   31,993x = 69,809 × 69,809
4. Step 4: Simplify right side
   31,993x = 4,873,296,481
5. Step 5: Solve for x
   x = 4,873,296,481/31,993
6. Step 6: Final answer
   x = 152,323.84