Finding the Third Proportional to 21,456 and 31,416

Step by Step Solution

1. Step 1: Write the proportion equation
   21,456 : 31,416 = 31,416 : x
2. Step 2: Convert to fraction form
   21,456/31,416 = 31,416/x
3. Step 3: Cross multiply
   21,456x = 31,416 × 31,416
4. Step 4: Simplify right side
   21,456x = 986,965,056
5. Step 5: Solve for x
   x = 986,965,056/21,456
6. Step 6: Final answer
   x = 45,999.49