Finding the Third Proportional to 41,570 and 64,498

Step by Step Solution

1. Step 1: Write the proportion equation
   41,570 : 64,498 = 64,498 : x
2. Step 2: Convert to fraction form
   41,570/64,498 = 64,498/x
3. Step 3: Cross multiply
   41,570x = 64,498 × 64,498
4. Step 4: Simplify right side
   41,570x = 4,159,992,004
5. Step 5: Solve for x
   x = 4,159,992,004/41,570
6. Step 6: Final answer
   x = 100,071.98