Finding the Third Proportional to 41,768 and 64,646

Step by Step Solution

1. Step 1: Write the proportion equation
   41,768 : 64,646 = 64,646 : x
2. Step 2: Convert to fraction form
   41,768/64,646 = 64,646/x
3. Step 3: Cross multiply
   41,768x = 64,646 × 64,646
4. Step 4: Simplify right side
   41,768x = 4,179,105,316
5. Step 5: Solve for x
   x = 4,179,105,316/41,768
6. Step 6: Final answer
   x = 100,055.19