Finding the Third Proportional to 41,760 and 64,776

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 64,776 = 64,776 : x
2. Step 2: Convert to fraction form
   41,760/64,776 = 64,776/x
3. Step 3: Cross multiply
   41,760x = 64,776 × 64,776
4. Step 4: Simplify right side
   41,760x = 4,195,930,176
5. Step 5: Solve for x
   x = 4,195,930,176/41,760
6. Step 6: Final answer
   x = 100,477.26