Finding the Third Proportional to 10,729 and 23,031

Step by Step Solution

1. Step 1: Write the proportion equation
   10,729 : 23,031 = 23,031 : x
2. Step 2: Convert to fraction form
   10,729/23,031 = 23,031/x
3. Step 3: Cross multiply
   10,729x = 23,031 × 23,031
4. Step 4: Simplify right side
   10,729x = 530,426,961
5. Step 5: Solve for x
   x = 530,426,961/10,729
6. Step 6: Final answer
   x = 49,438.62