Finding the Third Proportional to 10,674 and 23,262

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674 : 23,262 = 23,262 : x
2. Step 2: Convert to fraction form
   10,674/23,262 = 23,262/x
3. Step 3: Cross multiply
   10,674x = 23,262 × 23,262
4. Step 4: Simplify right side
   10,674x = 541,120,644
5. Step 5: Solve for x
   x = 541,120,644/10,674
6. Step 6: Final answer
   x = 50,695.21