Finding the Third Proportional to 10,729 and 23,474

Step by Step Solution

1. Step 1: Write the proportion equation
   10,729 : 23,474 = 23,474 : x
2. Step 2: Convert to fraction form
   10,729/23,474 = 23,474/x
3. Step 3: Cross multiply
   10,729x = 23,474 × 23,474
4. Step 4: Simplify right side
   10,729x = 551,028,676
5. Step 5: Solve for x
   x = 551,028,676/10,729
6. Step 6: Final answer
   x = 51,358.81