Finding the Third Proportional to 41,684 and 87,724

Step by Step Solution

1. Step 1: Write the proportion equation
   41,684 : 87,724 = 87,724 : x
2. Step 2: Convert to fraction form
   41,684/87,724 = 87,724/x
3. Step 3: Cross multiply
   41,684x = 87,724 × 87,724
4. Step 4: Simplify right side
   41,684x = 7,695,500,176
5. Step 5: Solve for x
   x = 7,695,500,176/41,684
6. Step 6: Final answer
   x = 184,615.20