Finding the Third Proportional to 27,402 and 59,040

Step by Step Solution

1. Step 1: Write the proportion equation
   27,402 : 59,040 = 59,040 : x
2. Step 2: Convert to fraction form
   27,402/59,040 = 59,040/x
3. Step 3: Cross multiply
   27,402x = 59,040 × 59,040
4. Step 4: Simplify right side
   27,402x = 3,485,721,600
5. Step 5: Solve for x
   x = 3,485,721,600/27,402
6. Step 6: Final answer
   x = 127,206.83