Finding the Third Proportional to 35,496.50 and 72,811

Step by Step Solution

1. Step 1: Write the proportion equation
   35,496.50 : 72,811 = 72,811 : x
2. Step 2: Convert to fraction form
   35,496.50/72,811 = 72,811/x
3. Step 3: Cross multiply
   35,496.50x = 72,811 × 72,811
4. Step 4: Simplify right side
   35,496.50x = 5,301,441,721
5. Step 5: Solve for x
   x = 5,301,441,721/35,496.50
6. Step 6: Final answer
   x = 149,351.11