Finding the Third Proportional to 31,764 and 46,674

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 46,674 = 46,674 : x
2. Step 2: Convert to fraction form
   31,764/46,674 = 46,674/x
3. Step 3: Cross multiply
   31,764x = 46,674 × 46,674
4. Step 4: Simplify right side
   31,764x = 2,178,462,276
5. Step 5: Solve for x
   x = 2,178,462,276/31,764
6. Step 6: Final answer
   x = 68,582.74