Finding the Third Proportional to 23,296 and 34,960

Step by Step Solution

1. Step 1: Write the proportion equation
   23,296 : 34,960 = 34,960 : x
2. Step 2: Convert to fraction form
   23,296/34,960 = 34,960/x
3. Step 3: Cross multiply
   23,296x = 34,960 × 34,960
4. Step 4: Simplify right side
   23,296x = 1,222,201,600
5. Step 5: Solve for x
   x = 1,222,201,600/23,296
6. Step 6: Final answer
   x = 52,464.01