Finding the Third Proportional to 27,849 and 58,614

Step by Step Solution

1. Step 1: Write the proportion equation
   27,849 : 58,614 = 58,614 : x
2. Step 2: Convert to fraction form
   27,849/58,614 = 58,614/x
3. Step 3: Cross multiply
   27,849x = 58,614 × 58,614
4. Step 4: Simplify right side
   27,849x = 3,435,600,996
5. Step 5: Solve for x
   x = 3,435,600,996/27,849
6. Step 6: Final answer
   x = 123,365.33