Finding the Third Proportional to 31,844 and 46,834

Step by Step Solution

1. Step 1: Write the proportion equation
   31,844 : 46,834 = 46,834 : x
2. Step 2: Convert to fraction form
   31,844/46,834 = 46,834/x
3. Step 3: Cross multiply
   31,844x = 46,834 × 46,834
4. Step 4: Simplify right side
   31,844x = 2,193,423,556
5. Step 5: Solve for x
   x = 2,193,423,556/31,844
6. Step 6: Final answer
   x = 68,880.28