Finding the Third Proportional to 33,096 and 77,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 77,545.50 = 77,545.50 : x
2. Step 2: Convert to fraction form
   33,096/77,545.50 = 77,545.50/x
3. Step 3: Cross multiply
   33,096x = 77,545.50 × 77,545.50
4. Step 4: Simplify right side
   33,096x = 6,013,304,570.25
5. Step 5: Solve for x
   x = 6,013,304,570.25/33,096
6. Step 6: Final answer
   x = 181,692.79