Finding the Third Proportional to 23,696 and 51,410

Step by Step Solution

1. Step 1: Write the proportion equation
   23,696 : 51,410 = 51,410 : x
2. Step 2: Convert to fraction form
   23,696/51,410 = 51,410/x
3. Step 3: Cross multiply
   23,696x = 51,410 × 51,410
4. Step 4: Simplify right side
   23,696x = 2,642,988,100
5. Step 5: Solve for x
   x = 2,642,988,100/23,696
6. Step 6: Final answer
   x = 111,537.31