Finding the Third Proportional to 10,564 and 13,958

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 13,958 = 13,958 : x
2. Step 2: Convert to fraction form
   10,564/13,958 = 13,958/x
3. Step 3: Cross multiply
   10,564x = 13,958 × 13,958
4. Step 4: Simplify right side
   10,564x = 194,825,764
5. Step 5: Solve for x
   x = 194,825,764/10,564
6. Step 6: Final answer
   x = 18,442.42