Finding the Third Proportional to 65,684 and 104,025

Step by Step Solution

1. Step 1: Write the proportion equation
   65,684 : 104,025 = 104,025 : x
2. Step 2: Convert to fraction form
   65,684/104,025 = 104,025/x
3. Step 3: Cross multiply
   65,684x = 104,025 × 104,025
4. Step 4: Simplify right side
   65,684x = 10,821,200,625
5. Step 5: Solve for x
   x = 10,821,200,625/65,684
6. Step 6: Final answer
   x = 164,746.37