Finding the Third Proportional to 41,872.50 and 64,764

Step by Step Solution

1. Step 1: Write the proportion equation
   41,872.50 : 64,764 = 64,764 : x
2. Step 2: Convert to fraction form
   41,872.50/64,764 = 64,764/x
3. Step 3: Cross multiply
   41,872.50x = 64,764 × 64,764
4. Step 4: Simplify right side
   41,872.50x = 4,194,375,696
5. Step 5: Solve for x
   x = 4,194,375,696/41,872.50
6. Step 6: Final answer
   x = 100,170.18