Finding the Third Proportional to 31,789 and 46,543

Step by Step Solution

1. Step 1: Write the proportion equation
   31,789 : 46,543 = 46,543 : x
2. Step 2: Convert to fraction form
   31,789/46,543 = 46,543/x
3. Step 3: Cross multiply
   31,789x = 46,543 × 46,543
4. Step 4: Simplify right side
   31,789x = 2,166,250,849
5. Step 5: Solve for x
   x = 2,166,250,849/31,789
6. Step 6: Final answer
   x = 68,144.67