Finding the Third Proportional to 23,586 and 51,264

Step by Step Solution

1. Step 1: Write the proportion equation
   23,586 : 51,264 = 51,264 : x
2. Step 2: Convert to fraction form
   23,586/51,264 = 51,264/x
3. Step 3: Cross multiply
   23,586x = 51,264 × 51,264
4. Step 4: Simplify right side
   23,586x = 2,627,997,696
5. Step 5: Solve for x
   x = 2,627,997,696/23,586
6. Step 6: Final answer
   x = 111,421.93