Finding the Third Proportional to 31,982 and 44,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,982 : 44,735.50 = 44,735.50 : x
2. Step 2: Convert to fraction form
   31,982/44,735.50 = 44,735.50/x
3. Step 3: Cross multiply
   31,982x = 44,735.50 × 44,735.50
4. Step 4: Simplify right side
   31,982x = 2,001,264,960.25
5. Step 5: Solve for x
   x = 2,001,264,960.25/31,982
6. Step 6: Final answer
   x = 62,574.73