Finding the Third Proportional to 41,416 and 63,456

Step by Step Solution

1. Step 1: Write the proportion equation
   41,416 : 63,456 = 63,456 : x
2. Step 2: Convert to fraction form
   41,416/63,456 = 63,456/x
3. Step 3: Cross multiply
   41,416x = 63,456 × 63,456
4. Step 4: Simplify right side
   41,416x = 4,026,663,936
5. Step 5: Solve for x
   x = 4,026,663,936/41,416
6. Step 6: Final answer
   x = 97,224.84