Finding the Third Proportional to 10,820 and 23,035

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 23,035 = 23,035 : x
2. Step 2: Convert to fraction form
   10,820/23,035 = 23,035/x
3. Step 3: Cross multiply
   10,820x = 23,035 × 23,035
4. Step 4: Simplify right side
   10,820x = 530,611,225
5. Step 5: Solve for x
   x = 530,611,225/10,820
6. Step 6: Final answer
   x = 49,039.85