Finding the Third Proportional to 27,729 and 59,610

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 59,610 = 59,610 : x
2. Step 2: Convert to fraction form
   27,729/59,610 = 59,610/x
3. Step 3: Cross multiply
   27,729x = 59,610 × 59,610
4. Step 4: Simplify right side
   27,729x = 3,553,352,100
5. Step 5: Solve for x
   x = 3,553,352,100/27,729
6. Step 6: Final answer
   x = 128,145.70