Finding the Third Proportional to 10,516 and 23,968

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516 : 23,968 = 23,968 : x
2. Step 2: Convert to fraction form
   10,516/23,968 = 23,968/x
3. Step 3: Cross multiply
   10,516x = 23,968 × 23,968
4. Step 4: Simplify right side
   10,516x = 574,465,024
5. Step 5: Solve for x
   x = 574,465,024/10,516
6. Step 6: Final answer
   x = 54,627.71