Finding the Third Proportional to 43,196 and 65,463

Step by Step Solution

1. Step 1: Write the proportion equation
   43,196 : 65,463 = 65,463 : x
2. Step 2: Convert to fraction form
   43,196/65,463 = 65,463/x
3. Step 3: Cross multiply
   43,196x = 65,463 × 65,463
4. Step 4: Simplify right side
   43,196x = 4,285,404,369
5. Step 5: Solve for x
   x = 4,285,404,369/43,196
6. Step 6: Final answer
   x = 99,208.36