Finding the Third Proportional to 31,942.50 and 67,982.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,942.50 : 67,982.25 = 67,982.25 : x
2. Step 2: Convert to fraction form
   31,942.50/67,982.25 = 67,982.25/x
3. Step 3: Cross multiply
   31,942.50x = 67,982.25 × 67,982.25
4. Step 4: Simplify right side
   31,942.50x = 4,621,586,315.06
5. Step 5: Solve for x
   x = 4,621,586,315.06/31,942.50
6. Step 6: Final answer
   x = 144,684.55