Finding the Third Proportional to 31,789 and 46,697

Step by Step Solution

1. Step 1: Write the proportion equation
   31,789 : 46,697 = 46,697 : x
2. Step 2: Convert to fraction form
   31,789/46,697 = 46,697/x
3. Step 3: Cross multiply
   31,789x = 46,697 × 46,697
4. Step 4: Simplify right side
   31,789x = 2,180,609,809
5. Step 5: Solve for x
   x = 2,180,609,809/31,789
6. Step 6: Final answer
   x = 68,596.36