Finding the Third Proportional to 10,606 and 23,965

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 23,965 = 23,965 : x
2. Step 2: Convert to fraction form
   10,606/23,965 = 23,965/x
3. Step 3: Cross multiply
   10,606x = 23,965 × 23,965
4. Step 4: Simplify right side
   10,606x = 574,321,225
5. Step 5: Solve for x
   x = 574,321,225/10,606
6. Step 6: Final answer
   x = 54,150.60