Finding the Third Proportional to 20,262 and 31,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,262 : 31,623.50 = 31,623.50 : x
2. Step 2: Convert to fraction form
   20,262/31,623.50 = 31,623.50/x
3. Step 3: Cross multiply
   20,262x = 31,623.50 × 31,623.50
4. Step 4: Simplify right side
   20,262x = 1,000,045,752.25
5. Step 5: Solve for x
   x = 1,000,045,752.25/20,262
6. Step 6: Final answer
   x = 49,355.73