Finding the Third Proportional to 21,538 and 31,598

Step by Step Solution

1. Step 1: Write the proportion equation
   21,538 : 31,598 = 31,598 : x
2. Step 2: Convert to fraction form
   21,538/31,598 = 31,598/x
3. Step 3: Cross multiply
   21,538x = 31,598 × 31,598
4. Step 4: Simplify right side
   21,538x = 998,433,604
5. Step 5: Solve for x
   x = 998,433,604/21,538
6. Step 6: Final answer
   x = 46,356.84