Finding the Third Proportional to 36,166 and 55,888

Step by Step Solution

1. Step 1: Write the proportion equation
   36,166 : 55,888 = 55,888 : x
2. Step 2: Convert to fraction form
   36,166/55,888 = 55,888/x
3. Step 3: Cross multiply
   36,166x = 55,888 × 55,888
4. Step 4: Simplify right side
   36,166x = 3,123,468,544
5. Step 5: Solve for x
   x = 3,123,468,544/36,166
6. Step 6: Final answer
   x = 86,364.78