Finding the Third Proportional to 41,644 and 63,510

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644 : 63,510 = 63,510 : x
2. Step 2: Convert to fraction form
   41,644/63,510 = 63,510/x
3. Step 3: Cross multiply
   41,644x = 63,510 × 63,510
4. Step 4: Simplify right side
   41,644x = 4,033,520,100
5. Step 5: Solve for x
   x = 4,033,520,100/41,644
6. Step 6: Final answer
   x = 96,857.17