Finding the Third Proportional to 41,677 and 64,540

Step by Step Solution

1. Step 1: Write the proportion equation
   41,677 : 64,540 = 64,540 : x
2. Step 2: Convert to fraction form
   41,677/64,540 = 64,540/x
3. Step 3: Cross multiply
   41,677x = 64,540 × 64,540
4. Step 4: Simplify right side
   41,677x = 4,165,411,600
5. Step 5: Solve for x
   x = 4,165,411,600/41,677
6. Step 6: Final answer
   x = 99,945.09