Finding the Third Proportional to 41,184 and 63,824

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 63,824 = 63,824 : x
2. Step 2: Convert to fraction form
   41,184/63,824 = 63,824/x
3. Step 3: Cross multiply
   41,184x = 63,824 × 63,824
4. Step 4: Simplify right side
   41,184x = 4,073,502,976
5. Step 5: Solve for x
   x = 4,073,502,976/41,184
6. Step 6: Final answer
   x = 98,909.84