Finding the Third Proportional to 27,877 and 59,570

Step by Step Solution

1. Step 1: Write the proportion equation
   27,877 : 59,570 = 59,570 : x
2. Step 2: Convert to fraction form
   27,877/59,570 = 59,570/x
3. Step 3: Cross multiply
   27,877x = 59,570 × 59,570
4. Step 4: Simplify right side
   27,877x = 3,548,584,900
5. Step 5: Solve for x
   x = 3,548,584,900/27,877
6. Step 6: Final answer
   x = 127,294.36