Finding the Third Proportional to 41,646 and 64,062

Step by Step Solution

1. Step 1: Write the proportion equation
   41,646 : 64,062 = 64,062 : x
2. Step 2: Convert to fraction form
   41,646/64,062 = 64,062/x
3. Step 3: Cross multiply
   41,646x = 64,062 × 64,062
4. Step 4: Simplify right side
   41,646x = 4,103,939,844
5. Step 5: Solve for x
   x = 4,103,939,844/41,646
6. Step 6: Final answer
   x = 98,543.43