Finding the Third Proportional to 10,776 and 22,474

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 22,474 = 22,474 : x
2. Step 2: Convert to fraction form
   10,776/22,474 = 22,474/x
3. Step 3: Cross multiply
   10,776x = 22,474 × 22,474
4. Step 4: Simplify right side
   10,776x = 505,080,676
5. Step 5: Solve for x
   x = 505,080,676/10,776
6. Step 6: Final answer
   x = 46,870.89