Finding the Third Proportional to 35,545.50 and 82,289.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,545.50 : 82,289.25 = 82,289.25 : x
2. Step 2: Convert to fraction form
   35,545.50/82,289.25 = 82,289.25/x
3. Step 3: Cross multiply
   35,545.50x = 82,289.25 × 82,289.25
4. Step 4: Simplify right side
   35,545.50x = 6,771,520,665.56
5. Step 5: Solve for x
   x = 6,771,520,665.56/35,545.50
6. Step 6: Final answer
   x = 190,502.90