Finding the Third Proportional to 41,882.50 and 64,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,882.50 : 64,768.75 = 64,768.75 : x
2. Step 2: Convert to fraction form
   41,882.50/64,768.75 = 64,768.75/x
3. Step 3: Cross multiply
   41,882.50x = 64,768.75 × 64,768.75
4. Step 4: Simplify right side
   41,882.50x = 4,194,990,976.56
5. Step 5: Solve for x
   x = 4,194,990,976.56/41,882.50
6. Step 6: Final answer
   x = 100,160.95