Finding the Third Proportional to 10,649 and 23,157

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649 : 23,157 = 23,157 : x
2. Step 2: Convert to fraction form
   10,649/23,157 = 23,157/x
3. Step 3: Cross multiply
   10,649x = 23,157 × 23,157
4. Step 4: Simplify right side
   10,649x = 536,246,649
5. Step 5: Solve for x
   x = 536,246,649/10,649
6. Step 6: Final answer
   x = 50,356.53