Finding the Third Proportional to 11,493 and 23,877

Step by Step Solution

1. Step 1: Write the proportion equation
   11,493 : 23,877 = 23,877 : x
2. Step 2: Convert to fraction form
   11,493/23,877 = 23,877/x
3. Step 3: Cross multiply
   11,493x = 23,877 × 23,877
4. Step 4: Simplify right side
   11,493x = 570,111,129
5. Step 5: Solve for x
   x = 570,111,129/11,493
6. Step 6: Final answer
   x = 49,605.08