Finding the Third Proportional to 12,231 and 25,377

Step by Step Solution

1. Step 1: Write the proportion equation
   12,231 : 25,377 = 25,377 : x
2. Step 2: Convert to fraction form
   12,231/25,377 = 25,377/x
3. Step 3: Cross multiply
   12,231x = 25,377 × 25,377
4. Step 4: Simplify right side
   12,231x = 643,992,129
5. Step 5: Solve for x
   x = 643,992,129/12,231
6. Step 6: Final answer
   x = 52,652.45