Finding the Third Proportional to 27,567 and 59,022

Step by Step Solution

1. Step 1: Write the proportion equation
   27,567 : 59,022 = 59,022 : x
2. Step 2: Convert to fraction form
   27,567/59,022 = 59,022/x
3. Step 3: Cross multiply
   27,567x = 59,022 × 59,022
4. Step 4: Simplify right side
   27,567x = 3,483,596,484
5. Step 5: Solve for x
   x = 3,483,596,484/27,567
6. Step 6: Final answer
   x = 126,368.36