Finding the Third Proportional to 41,781 and 64,726

Step by Step Solution

1. Step 1: Write the proportion equation
   41,781 : 64,726 = 64,726 : x
2. Step 2: Convert to fraction form
   41,781/64,726 = 64,726/x
3. Step 3: Cross multiply
   41,781x = 64,726 × 64,726
4. Step 4: Simplify right side
   41,781x = 4,189,455,076
5. Step 5: Solve for x
   x = 4,189,455,076/41,781
6. Step 6: Final answer
   x = 100,271.78