Finding the Third Proportional to 41,778.50 and 64,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,778.50 : 64,722.50 = 64,722.50 : x
2. Step 2: Convert to fraction form
   41,778.50/64,722.50 = 64,722.50/x
3. Step 3: Cross multiply
   41,778.50x = 64,722.50 × 64,722.50
4. Step 4: Simplify right side
   41,778.50x = 4,189,002,006.25
5. Step 5: Solve for x
   x = 4,189,002,006.25/41,778.50
6. Step 6: Final answer
   x = 100,266.93