Finding the Third Proportional to 31,802 and 46,730

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 46,730 = 46,730 : x
2. Step 2: Convert to fraction form
   31,802/46,730 = 46,730/x
3. Step 3: Cross multiply
   31,802x = 46,730 × 46,730
4. Step 4: Simplify right side
   31,802x = 2,183,692,900
5. Step 5: Solve for x
   x = 2,183,692,900/31,802
6. Step 6: Final answer
   x = 68,665.27