Finding the Third Proportional to 41,424 and 65,624

Step by Step Solution

1. Step 1: Write the proportion equation
   41,424 : 65,624 = 65,624 : x
2. Step 2: Convert to fraction form
   41,424/65,624 = 65,624/x
3. Step 3: Cross multiply
   41,424x = 65,624 × 65,624
4. Step 4: Simplify right side
   41,424x = 4,306,509,376
5. Step 5: Solve for x
   x = 4,306,509,376/41,424
6. Step 6: Final answer
   x = 103,961.70