Finding the Third Proportional to 27,746 and 59,462

Step by Step Solution

1. Step 1: Write the proportion equation
   27,746 : 59,462 = 59,462 : x
2. Step 2: Convert to fraction form
   27,746/59,462 = 59,462/x
3. Step 3: Cross multiply
   27,746x = 59,462 × 59,462
4. Step 4: Simplify right side
   27,746x = 3,535,729,444
5. Step 5: Solve for x
   x = 3,535,729,444/27,746
6. Step 6: Final answer
   x = 127,432.04