Finding the Third Proportional to 27,857 and 59,602

Step by Step Solution

1. Step 1: Write the proportion equation
   27,857 : 59,602 = 59,602 : x
2. Step 2: Convert to fraction form
   27,857/59,602 = 59,602/x
3. Step 3: Cross multiply
   27,857x = 59,602 × 59,602
4. Step 4: Simplify right side
   27,857x = 3,552,398,404
5. Step 5: Solve for x
   x = 3,552,398,404/27,857
6. Step 6: Final answer
   x = 127,522.65