Finding the Third Proportional to 20,982 and 31,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,982 : 31,778.25 = 31,778.25 : x
2. Step 2: Convert to fraction form
   20,982/31,778.25 = 31,778.25/x
3. Step 3: Cross multiply
   20,982x = 31,778.25 × 31,778.25
4. Step 4: Simplify right side
   20,982x = 1,009,857,173.06
5. Step 5: Solve for x
   x = 1,009,857,173.06/20,982
6. Step 6: Final answer
   x = 48,129.69