Finding the Third Proportional to 41,569.50 and 86,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,569.50 : 86,095.50 = 86,095.50 : x
2. Step 2: Convert to fraction form
   41,569.50/86,095.50 = 86,095.50/x
3. Step 3: Cross multiply
   41,569.50x = 86,095.50 × 86,095.50
4. Step 4: Simplify right side
   41,569.50x = 7,412,435,120.25
5. Step 5: Solve for x
   x = 7,412,435,120.25/41,569.50
6. Step 6: Final answer
   x = 178,314.27