Finding the Third Proportional to 43,536 and 95,184

Step by Step Solution

1. Step 1: Write the proportion equation
   43,536 : 95,184 = 95,184 : x
2. Step 2: Convert to fraction form
   43,536/95,184 = 95,184/x
3. Step 3: Cross multiply
   43,536x = 95,184 × 95,184
4. Step 4: Simplify right side
   43,536x = 9,059,993,856
5. Step 5: Solve for x
   x = 9,059,993,856/43,536
6. Step 6: Final answer
   x = 208,103.50