Finding the Third Proportional to 23,184 and 35,218

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 35,218 = 35,218 : x
2. Step 2: Convert to fraction form
   23,184/35,218 = 35,218/x
3. Step 3: Cross multiply
   23,184x = 35,218 × 35,218
4. Step 4: Simplify right side
   23,184x = 1,240,307,524
5. Step 5: Solve for x
   x = 1,240,307,524/23,184
6. Step 6: Final answer
   x = 53,498.43