Finding the Third Proportional to 21,496 and 31,464

Step by Step Solution

1. Step 1: Write the proportion equation
   21,496 : 31,464 = 31,464 : x
2. Step 2: Convert to fraction form
   21,496/31,464 = 31,464/x
3. Step 3: Cross multiply
   21,496x = 31,464 × 31,464
4. Step 4: Simplify right side
   21,496x = 989,983,296
5. Step 5: Solve for x
   x = 989,983,296/21,496
6. Step 6: Final answer
   x = 46,054.30