Finding the Third Proportional to 12,458 and 27,377

Step by Step Solution

1. Step 1: Write the proportion equation
   12,458 : 27,377 = 27,377 : x
2. Step 2: Convert to fraction form
   12,458/27,377 = 27,377/x
3. Step 3: Cross multiply
   12,458x = 27,377 × 27,377
4. Step 4: Simplify right side
   12,458x = 749,500,129
5. Step 5: Solve for x
   x = 749,500,129/12,458
6. Step 6: Final answer
   x = 60,162.16