Finding the Third Proportional to 11,377 and 23,538

Step by Step Solution

1. Step 1: Write the proportion equation
   11,377 : 23,538 = 23,538 : x
2. Step 2: Convert to fraction form
   11,377/23,538 = 23,538/x
3. Step 3: Cross multiply
   11,377x = 23,538 × 23,538
4. Step 4: Simplify right side
   11,377x = 554,037,444
5. Step 5: Solve for x
   x = 554,037,444/11,377
6. Step 6: Final answer
   x = 48,698.03