Finding the Third Proportional to 41,724 and 86,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,724 : 86,215.50 = 86,215.50 : x
2. Step 2: Convert to fraction form
   41,724/86,215.50 = 86,215.50/x
3. Step 3: Cross multiply
   41,724x = 86,215.50 × 86,215.50
4. Step 4: Simplify right side
   41,724x = 7,433,112,440.25
5. Step 5: Solve for x
   x = 7,433,112,440.25/41,724
6. Step 6: Final answer
   x = 178,149.56