Finding the Third Proportional to 41,689.69 and 86,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,689.69 : 86,143.50 = 86,143.50 : x
2. Step 2: Convert to fraction form
   41,689.69/86,143.50 = 86,143.50/x
3. Step 3: Cross multiply
   41,689.69x = 86,143.50 × 86,143.50
4. Step 4: Simplify right side
   41,689.69x = 7,420,702,592.25
5. Step 5: Solve for x
   x = 7,420,702,592.25/41,689.69
6. Step 6: Final answer
   x = 177,998.52