Finding the Third Proportional to 26,852 and 59,016

Step by Step Solution

1. Step 1: Write the proportion equation
   26,852 : 59,016 = 59,016 : x
2. Step 2: Convert to fraction form
   26,852/59,016 = 59,016/x
3. Step 3: Cross multiply
   26,852x = 59,016 × 59,016
4. Step 4: Simplify right side
   26,852x = 3,482,888,256
5. Step 5: Solve for x
   x = 3,482,888,256/26,852
6. Step 6: Final answer
   x = 129,706.85