Finding the Third Proportional to 20,869 and 32,077

Step by Step Solution

1. Step 1: Write the proportion equation
   20,869 : 32,077 = 32,077 : x
2. Step 2: Convert to fraction form
   20,869/32,077 = 32,077/x
3. Step 3: Cross multiply
   20,869x = 32,077 × 32,077
4. Step 4: Simplify right side
   20,869x = 1,028,933,929
5. Step 5: Solve for x
   x = 1,028,933,929/20,869
6. Step 6: Final answer
   x = 49,304.42