Finding the Third Proportional to 10,135 and 23,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,135 : 23,674 = 23,674 : x
2. Step 2: Convert to fraction form
   10,135/23,674 = 23,674/x
3. Step 3: Cross multiply
   10,135x = 23,674 × 23,674
4. Step 4: Simplify right side
   10,135x = 560,458,276
5. Step 5: Solve for x
   x = 560,458,276/10,135
6. Step 6: Final answer
   x = 55,299.29