Finding the Third Proportional to 41,940 and 64,370

Step by Step Solution

1. Step 1: Write the proportion equation
   41,940 : 64,370 = 64,370 : x
2. Step 2: Convert to fraction form
   41,940/64,370 = 64,370/x
3. Step 3: Cross multiply
   41,940x = 64,370 × 64,370
4. Step 4: Simplify right side
   41,940x = 4,143,496,900
5. Step 5: Solve for x
   x = 4,143,496,900/41,940
6. Step 6: Final answer
   x = 98,795.82