Finding the Third Proportional to 41,408 and 65,600

Step by Step Solution

1. Step 1: Write the proportion equation
   41,408 : 65,600 = 65,600 : x
2. Step 2: Convert to fraction form
   41,408/65,600 = 65,600/x
3. Step 3: Cross multiply
   41,408x = 65,600 × 65,600
4. Step 4: Simplify right side
   41,408x = 4,303,360,000
5. Step 5: Solve for x
   x = 4,303,360,000/41,408
6. Step 6: Final answer
   x = 103,925.81