Finding the Third Proportional to 10,964 and 23,758

Step by Step Solution

1. Step 1: Write the proportion equation
   10,964 : 23,758 = 23,758 : x
2. Step 2: Convert to fraction form
   10,964/23,758 = 23,758/x
3. Step 3: Cross multiply
   10,964x = 23,758 × 23,758
4. Step 4: Simplify right side
   10,964x = 564,442,564
5. Step 5: Solve for x
   x = 564,442,564/10,964
6. Step 6: Final answer
   x = 51,481.45