Finding the Third Proportional to 31,456 and 46,596

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 46,596 = 46,596 : x
2. Step 2: Convert to fraction form
   31,456/46,596 = 46,596/x
3. Step 3: Cross multiply
   31,456x = 46,596 × 46,596
4. Step 4: Simplify right side
   31,456x = 2,171,187,216
5. Step 5: Solve for x
   x = 2,171,187,216/31,456
6. Step 6: Final answer
   x = 69,022.99