Finding the Third Proportional to 34,746 and 53,834

Step by Step Solution

1. Step 1: Write the proportion equation
   34,746 : 53,834 = 53,834 : x
2. Step 2: Convert to fraction form
   34,746/53,834 = 53,834/x
3. Step 3: Cross multiply
   34,746x = 53,834 × 53,834
4. Step 4: Simplify right side
   34,746x = 2,898,099,556
5. Step 5: Solve for x
   x = 2,898,099,556/34,746
6. Step 6: Final answer
   x = 83,408.15