Finding the Third Proportional to 41,564 and 64,488

Step by Step Solution

1. Step 1: Write the proportion equation
   41,564 : 64,488 = 64,488 : x
2. Step 2: Convert to fraction form
   41,564/64,488 = 64,488/x
3. Step 3: Cross multiply
   41,564x = 64,488 × 64,488
4. Step 4: Simplify right side
   41,564x = 4,158,702,144
5. Step 5: Solve for x
   x = 4,158,702,144/41,564
6. Step 6: Final answer
   x = 100,055.39