Finding the Third Proportional to 40,646 and 57,945

Step by Step Solution

1. Step 1: Write the proportion equation
   40,646 : 57,945 = 57,945 : x
2. Step 2: Convert to fraction form
   40,646/57,945 = 57,945/x
3. Step 3: Cross multiply
   40,646x = 57,945 × 57,945
4. Step 4: Simplify right side
   40,646x = 3,357,623,025
5. Step 5: Solve for x
   x = 3,357,623,025/40,646
6. Step 6: Final answer
   x = 82,606.48