Finding the Third Proportional to 36,221 and 76,789

Step by Step Solution

1. Step 1: Write the proportion equation
   36,221 : 76,789 = 76,789 : x
2. Step 2: Convert to fraction form
   36,221/76,789 = 76,789/x
3. Step 3: Cross multiply
   36,221x = 76,789 × 76,789
4. Step 4: Simplify right side
   36,221x = 5,896,550,521
5. Step 5: Solve for x
   x = 5,896,550,521/36,221
6. Step 6: Final answer
   x = 162,793.70