Finding the Third Proportional to 21,438 and 46,834

Step by Step Solution

1. Step 1: Write the proportion equation
   21,438 : 46,834 = 46,834 : x
2. Step 2: Convert to fraction form
   21,438/46,834 = 46,834/x
3. Step 3: Cross multiply
   21,438x = 46,834 × 46,834
4. Step 4: Simplify right side
   21,438x = 2,193,423,556
5. Step 5: Solve for x
   x = 2,193,423,556/21,438
6. Step 6: Final answer
   x = 102,314.75