Finding the Third Proportional to 31,769 and 46,680

Step by Step Solution

1. Step 1: Write the proportion equation
   31,769 : 46,680 = 46,680 : x
2. Step 2: Convert to fraction form
   31,769/46,680 = 46,680/x
3. Step 3: Cross multiply
   31,769x = 46,680 × 46,680
4. Step 4: Simplify right side
   31,769x = 2,179,022,400
5. Step 5: Solve for x
   x = 2,179,022,400/31,769
6. Step 6: Final answer
   x = 68,589.58