Finding the Third Proportional to 36,286 and 76,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,286 : 76,976.50 = 76,976.50 : x
2. Step 2: Convert to fraction form
   36,286/76,976.50 = 76,976.50/x
3. Step 3: Cross multiply
   36,286x = 76,976.50 × 76,976.50
4. Step 4: Simplify right side
   36,286x = 5,925,381,552.25
5. Step 5: Solve for x
   x = 5,925,381,552.25/36,286
6. Step 6: Final answer
   x = 163,296.63