Finding the Third Proportional to 36,105 and 86,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,105 : 86,974.50 = 86,974.50 : x
2. Step 2: Convert to fraction form
   36,105/86,974.50 = 86,974.50/x
3. Step 3: Cross multiply
   36,105x = 86,974.50 × 86,974.50
4. Step 4: Simplify right side
   36,105x = 7,564,563,650.25
5. Step 5: Solve for x
   x = 7,564,563,650.25/36,105
6. Step 6: Final answer
   x = 209,515.68