Finding the Third Proportional to 27,456 and 59,187

Step by Step Solution

1. Step 1: Write the proportion equation
   27,456 : 59,187 = 59,187 : x
2. Step 2: Convert to fraction form
   27,456/59,187 = 59,187/x
3. Step 3: Cross multiply
   27,456x = 59,187 × 59,187
4. Step 4: Simplify right side
   27,456x = 3,503,100,969
5. Step 5: Solve for x
   x = 3,503,100,969/27,456
6. Step 6: Final answer
   x = 127,589.63