Finding the Third Proportional to 20,404 and 31,769

Step by Step Solution

1. Step 1: Write the proportion equation
   20,404 : 31,769 = 31,769 : x
2. Step 2: Convert to fraction form
   20,404/31,769 = 31,769/x
3. Step 3: Cross multiply
   20,404x = 31,769 × 31,769
4. Step 4: Simplify right side
   20,404x = 1,009,269,361
5. Step 5: Solve for x
   x = 1,009,269,361/20,404
6. Step 6: Final answer
   x = 49,464.29