Finding the Third Proportional to 41,780 and 64,724

Step by Step Solution

1. Step 1: Write the proportion equation
   41,780 : 64,724 = 64,724 : x
2. Step 2: Convert to fraction form
   41,780/64,724 = 64,724/x
3. Step 3: Cross multiply
   41,780x = 64,724 × 64,724
4. Step 4: Simplify right side
   41,780x = 4,189,196,176
5. Step 5: Solve for x
   x = 4,189,196,176/41,780
6. Step 6: Final answer
   x = 100,267.98