Finding the Third Proportional to 21,190 and 31,423

Step by Step Solution

1. Step 1: Write the proportion equation
   21,190 : 31,423 = 31,423 : x
2. Step 2: Convert to fraction form
   21,190/31,423 = 31,423/x
3. Step 3: Cross multiply
   21,190x = 31,423 × 31,423
4. Step 4: Simplify right side
   21,190x = 987,404,929
5. Step 5: Solve for x
   x = 987,404,929/21,190
6. Step 6: Final answer
   x = 46,597.68