Finding the Third Proportional to 10,825 and 23,377

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825 : 23,377 = 23,377 : x
2. Step 2: Convert to fraction form
   10,825/23,377 = 23,377/x
3. Step 3: Cross multiply
   10,825x = 23,377 × 23,377
4. Step 4: Simplify right side
   10,825x = 546,484,129
5. Step 5: Solve for x
   x = 546,484,129/10,825
6. Step 6: Final answer
   x = 50,483.52