Finding the Third Proportional to 20,338 and 42,232

Step by Step Solution

1. Step 1: Write the proportion equation
   20,338 : 42,232 = 42,232 : x
2. Step 2: Convert to fraction form
   20,338/42,232 = 42,232/x
3. Step 3: Cross multiply
   20,338x = 42,232 × 42,232
4. Step 4: Simplify right side
   20,338x = 1,783,541,824
5. Step 5: Solve for x
   x = 1,783,541,824/20,338
6. Step 6: Final answer
   x = 87,695.04