Finding the Third Proportional to 40,012 and 57,634

Step by Step Solution

1. Step 1: Write the proportion equation
   40,012 : 57,634 = 57,634 : x
2. Step 2: Convert to fraction form
   40,012/57,634 = 57,634/x
3. Step 3: Cross multiply
   40,012x = 57,634 × 57,634
4. Step 4: Simplify right side
   40,012x = 3,321,677,956
5. Step 5: Solve for x
   x = 3,321,677,956/40,012
6. Step 6: Final answer
   x = 83,017.04