Finding the Third Proportional to 27,538 and 59,074

Step by Step Solution

1. Step 1: Write the proportion equation
   27,538 : 59,074 = 59,074 : x
2. Step 2: Convert to fraction form
   27,538/59,074 = 59,074/x
3. Step 3: Cross multiply
   27,538x = 59,074 × 59,074
4. Step 4: Simplify right side
   27,538x = 3,489,737,476
5. Step 5: Solve for x
   x = 3,489,737,476/27,538
6. Step 6: Final answer
   x = 126,724.43