Finding the Third Proportional to 12,464 and 21,504

Step by Step Solution

1. Step 1: Write the proportion equation
   12,464 : 21,504 = 21,504 : x
2. Step 2: Convert to fraction form
   12,464/21,504 = 21,504/x
3. Step 3: Cross multiply
   12,464x = 21,504 × 21,504
4. Step 4: Simplify right side
   12,464x = 462,422,016
5. Step 5: Solve for x
   x = 462,422,016/12,464
6. Step 6: Final answer
   x = 37,100.61