Finding the Third Proportional to 36,223 and 55,410

Step by Step Solution

1. Step 1: Write the proportion equation
   36,223 : 55,410 = 55,410 : x
2. Step 2: Convert to fraction form
   36,223/55,410 = 55,410/x
3. Step 3: Cross multiply
   36,223x = 55,410 × 55,410
4. Step 4: Simplify right side
   36,223x = 3,070,268,100
5. Step 5: Solve for x
   x = 3,070,268,100/36,223
6. Step 6: Final answer
   x = 84,760.18