Finding the Third Proportional to 65,616 and 104,184

Step by Step Solution

1. Step 1: Write the proportion equation
   65,616 : 104,184 = 104,184 : x
2. Step 2: Convert to fraction form
   65,616/104,184 = 104,184/x
3. Step 3: Cross multiply
   65,616x = 104,184 × 104,184
4. Step 4: Simplify right side
   65,616x = 10,854,305,856
5. Step 5: Solve for x
   x = 10,854,305,856/65,616
6. Step 6: Final answer
   x = 165,421.63