Finding the Third Proportional to 41,767 and 64,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,767 : 64,644.50 = 64,644.50 : x
2. Step 2: Convert to fraction form
   41,767/64,644.50 = 64,644.50/x
3. Step 3: Cross multiply
   41,767x = 64,644.50 × 64,644.50
4. Step 4: Simplify right side
   41,767x = 4,178,911,380.25
5. Step 5: Solve for x
   x = 4,178,911,380.25/41,767
6. Step 6: Final answer
   x = 100,052.95