Finding the Third Proportional to 27,441 and 59,114

Step by Step Solution

1. Step 1: Write the proportion equation
   27,441 : 59,114 = 59,114 : x
2. Step 2: Convert to fraction form
   27,441/59,114 = 59,114/x
3. Step 3: Cross multiply
   27,441x = 59,114 × 59,114
4. Step 4: Simplify right side
   27,441x = 3,494,464,996
5. Step 5: Solve for x
   x = 3,494,464,996/27,441
6. Step 6: Final answer
   x = 127,344.67