Finding the Third Proportional to 36,164 and 55,884

Step by Step Solution

1. Step 1: Write the proportion equation
   36,164 : 55,884 = 55,884 : x
2. Step 2: Convert to fraction form
   36,164/55,884 = 55,884/x
3. Step 3: Cross multiply
   36,164x = 55,884 × 55,884
4. Step 4: Simplify right side
   36,164x = 3,123,021,456
5. Step 5: Solve for x
   x = 3,123,021,456/36,164
6. Step 6: Final answer
   x = 86,357.19