Finding the Third Proportional to 27,870 and 59,628

Step by Step Solution

1. Step 1: Write the proportion equation
   27,870 : 59,628 = 59,628 : x
2. Step 2: Convert to fraction form
   27,870/59,628 = 59,628/x
3. Step 3: Cross multiply
   27,870x = 59,628 × 59,628
4. Step 4: Simplify right side
   27,870x = 3,555,498,384
5. Step 5: Solve for x
   x = 3,555,498,384/27,870
6. Step 6: Final answer
   x = 127,574.39