Finding the Third Proportional to 10,837 and 23,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,837 : 23,564 = 23,564 : x
2. Step 2: Convert to fraction form
   10,837/23,564 = 23,564/x
3. Step 3: Cross multiply
   10,837x = 23,564 × 23,564
4. Step 4: Simplify right side
   10,837x = 555,262,096
5. Step 5: Solve for x
   x = 555,262,096/10,837
6. Step 6: Final answer
   x = 51,237.62