Finding the Third Proportional to 20,958 and 31,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,958 : 31,582.50 = 31,582.50 : x
2. Step 2: Convert to fraction form
   20,958/31,582.50 = 31,582.50/x
3. Step 3: Cross multiply
   20,958x = 31,582.50 × 31,582.50
4. Step 4: Simplify right side
   20,958x = 997,454,306.25
5. Step 5: Solve for x
   x = 997,454,306.25/20,958
6. Step 6: Final answer
   x = 47,593.01