Finding the Third Proportional to 20,819 and 31,750

Step by Step Solution

1. Step 1: Write the proportion equation
   20,819 : 31,750 = 31,750 : x
2. Step 2: Convert to fraction form
   20,819/31,750 = 31,750/x
3. Step 3: Cross multiply
   20,819x = 31,750 × 31,750
4. Step 4: Simplify right side
   20,819x = 1,008,062,500
5. Step 5: Solve for x
   x = 1,008,062,500/20,819
6. Step 6: Final answer
   x = 48,420.31