Finding the Third Proportional to 36,857 and 76,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,857 : 76,630.50 = 76,630.50 : x
2. Step 2: Convert to fraction form
   36,857/76,630.50 = 76,630.50/x
3. Step 3: Cross multiply
   36,857x = 76,630.50 × 76,630.50
4. Step 4: Simplify right side
   36,857x = 5,872,233,530.25
5. Step 5: Solve for x
   x = 5,872,233,530.25/36,857
6. Step 6: Final answer
   x = 159,324.78