Finding the Third Proportional to 31,729 and 67,952

Step by Step Solution

1. Step 1: Write the proportion equation
   31,729 : 67,952 = 67,952 : x
2. Step 2: Convert to fraction form
   31,729/67,952 = 67,952/x
3. Step 3: Cross multiply
   31,729x = 67,952 × 67,952
4. Step 4: Simplify right side
   31,729x = 4,617,474,304
5. Step 5: Solve for x
   x = 4,617,474,304/31,729
6. Step 6: Final answer
   x = 145,528.52