Finding the Third Proportional to 27,576 and 59,038

Step by Step Solution

1. Step 1: Write the proportion equation
   27,576 : 59,038 = 59,038 : x
2. Step 2: Convert to fraction form
   27,576/59,038 = 59,038/x
3. Step 3: Cross multiply
   27,576x = 59,038 × 59,038
4. Step 4: Simplify right side
   27,576x = 3,485,485,444
5. Step 5: Solve for x
   x = 3,485,485,444/27,576
6. Step 6: Final answer
   x = 126,395.61