Finding the Third Proportional to 37,728 and 85,184

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 85,184 = 85,184 : x
2. Step 2: Convert to fraction form
   37,728/85,184 = 85,184/x
3. Step 3: Cross multiply
   37,728x = 85,184 × 85,184
4. Step 4: Simplify right side
   37,728x = 7,256,313,856
5. Step 5: Solve for x
   x = 7,256,313,856/37,728
6. Step 6: Final answer
   x = 192,332.32