Finding the Third Proportional to 31,800 and 46,774

Step by Step Solution

1. Step 1: Write the proportion equation
   31,800 : 46,774 = 46,774 : x
2. Step 2: Convert to fraction form
   31,800/46,774 = 46,774/x
3. Step 3: Cross multiply
   31,800x = 46,774 × 46,774
4. Step 4: Simplify right side
   31,800x = 2,187,807,076
5. Step 5: Solve for x
   x = 2,187,807,076/31,800
6. Step 6: Final answer
   x = 68,798.96