Finding the Third Proportional to 41,419 and 65,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,419 : 65,872.50 = 65,872.50 : x
2. Step 2: Convert to fraction form
   41,419/65,872.50 = 65,872.50/x
3. Step 3: Cross multiply
   41,419x = 65,872.50 × 65,872.50
4. Step 4: Simplify right side
   41,419x = 4,339,186,256.25
5. Step 5: Solve for x
   x = 4,339,186,256.25/41,419
6. Step 6: Final answer
   x = 104,763.18