Finding the Third Proportional to 21,216 and 31,460

Step by Step Solution

1. Step 1: Write the proportion equation
   21,216 : 31,460 = 31,460 : x
2. Step 2: Convert to fraction form
   21,216/31,460 = 31,460/x
3. Step 3: Cross multiply
   21,216x = 31,460 × 31,460
4. Step 4: Simplify right side
   21,216x = 989,731,600
5. Step 5: Solve for x
   x = 989,731,600/21,216
6. Step 6: Final answer
   x = 46,650.25