Finding the Third Proportional to 27,870 and 59,520

Step by Step Solution

1. Step 1: Write the proportion equation
   27,870 : 59,520 = 59,520 : x
2. Step 2: Convert to fraction form
   27,870/59,520 = 59,520/x
3. Step 3: Cross multiply
   27,870x = 59,520 × 59,520
4. Step 4: Simplify right side
   27,870x = 3,542,630,400
5. Step 5: Solve for x
   x = 3,542,630,400/27,870
6. Step 6: Final answer
   x = 127,112.68