Finding the Third Proportional to 41,492 and 64,830

Step by Step Solution

1. Step 1: Write the proportion equation
   41,492 : 64,830 = 64,830 : x
2. Step 2: Convert to fraction form
   41,492/64,830 = 64,830/x
3. Step 3: Cross multiply
   41,492x = 64,830 × 64,830
4. Step 4: Simplify right side
   41,492x = 4,202,928,900
5. Step 5: Solve for x
   x = 4,202,928,900/41,492
6. Step 6: Final answer
   x = 101,294.92