Finding the Third Proportional to 9,382 and 20,077

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382 : 20,077 = 20,077 : x
2. Step 2: Convert to fraction form
   9,382/20,077 = 20,077/x
3. Step 3: Cross multiply
   9,382x = 20,077 × 20,077
4. Step 4: Simplify right side
   9,382x = 403,085,929
5. Step 5: Solve for x
   x = 403,085,929/9,382
6. Step 6: Final answer
   x = 42,963.75