Finding the Third Proportional to 41,816 and 64,772

Step by Step Solution

1. Step 1: Write the proportion equation
   41,816 : 64,772 = 64,772 : x
2. Step 2: Convert to fraction form
   41,816/64,772 = 64,772/x
3. Step 3: Cross multiply
   41,816x = 64,772 × 64,772
4. Step 4: Simplify right side
   41,816x = 4,195,411,984
5. Step 5: Solve for x
   x = 4,195,411,984/41,816
6. Step 6: Final answer
   x = 100,330.30