Finding the Third Proportional to 27,954 and 59,148

Step by Step Solution

1. Step 1: Write the proportion equation
   27,954 : 59,148 = 59,148 : x
2. Step 2: Convert to fraction form
   27,954/59,148 = 59,148/x
3. Step 3: Cross multiply
   27,954x = 59,148 × 59,148
4. Step 4: Simplify right side
   27,954x = 3,498,485,904
5. Step 5: Solve for x
   x = 3,498,485,904/27,954
6. Step 6: Final answer
   x = 125,151.53