Finding the Third Proportional to 10,264 and 23,946

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 23,946 = 23,946 : x
2. Step 2: Convert to fraction form
   10,264/23,946 = 23,946/x
3. Step 3: Cross multiply
   10,264x = 23,946 × 23,946
4. Step 4: Simplify right side
   10,264x = 573,410,916
5. Step 5: Solve for x
   x = 573,410,916/10,264
6. Step 6: Final answer
   x = 55,866.22