Finding the Third Proportional to 20,398 and 31,362

Step by Step Solution

1. Step 1: Write the proportion equation
   20,398 : 31,362 = 31,362 : x
2. Step 2: Convert to fraction form
   20,398/31,362 = 31,362/x
3. Step 3: Cross multiply
   20,398x = 31,362 × 31,362
4. Step 4: Simplify right side
   20,398x = 983,575,044
5. Step 5: Solve for x
   x = 983,575,044/20,398
6. Step 6: Final answer
   x = 48,219.19