Finding the Third Proportional to 36,464.50 and 75,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,464.50 : 75,456.50 = 75,456.50 : x
2. Step 2: Convert to fraction form
   36,464.50/75,456.50 = 75,456.50/x
3. Step 3: Cross multiply
   36,464.50x = 75,456.50 × 75,456.50
4. Step 4: Simplify right side
   36,464.50x = 5,693,683,392.25
5. Step 5: Solve for x
   x = 5,693,683,392.25/36,464.50
6. Step 6: Final answer
   x = 156,143.19