Finding the Third Proportional to 31,611 and 72,993

Step by Step Solution

1. Step 1: Write the proportion equation
   31,611 : 72,993 = 72,993 : x
2. Step 2: Convert to fraction form
   31,611/72,993 = 72,993/x
3. Step 3: Cross multiply
   31,611x = 72,993 × 72,993
4. Step 4: Simplify right side
   31,611x = 5,327,978,049
5. Step 5: Solve for x
   x = 5,327,978,049/31,611
6. Step 6: Final answer
   x = 168,548.23