Finding the Third Proportional to 41,888 and 64,777

Step by Step Solution

1. Step 1: Write the proportion equation
   41,888 : 64,777 = 64,777 : x
2. Step 2: Convert to fraction form
   41,888/64,777 = 64,777/x
3. Step 3: Cross multiply
   41,888x = 64,777 × 64,777
4. Step 4: Simplify right side
   41,888x = 4,196,059,729
5. Step 5: Solve for x
   x = 4,196,059,729/41,888
6. Step 6: Final answer
   x = 100,173.31