Finding the Third Proportional to 21,685 and 31,704

Step by Step Solution

1. Step 1: Write the proportion equation
   21,685 : 31,704 = 31,704 : x
2. Step 2: Convert to fraction form
   21,685/31,704 = 31,704/x
3. Step 3: Cross multiply
   21,685x = 31,704 × 31,704
4. Step 4: Simplify right side
   21,685x = 1,005,143,616
5. Step 5: Solve for x
   x = 1,005,143,616/21,685
6. Step 6: Final answer
   x = 46,352.02