Finding the Third Proportional to 10,766 and 22,342

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766 : 22,342 = 22,342 : x
2. Step 2: Convert to fraction form
   10,766/22,342 = 22,342/x
3. Step 3: Cross multiply
   10,766x = 22,342 × 22,342
4. Step 4: Simplify right side
   10,766x = 499,164,964
5. Step 5: Solve for x
   x = 499,164,964/10,766
6. Step 6: Final answer
   x = 46,364.94