Finding the Third Proportional to 34,536 and 51,834

Step by Step Solution

1. Step 1: Write the proportion equation
   34,536 : 51,834 = 51,834 : x
2. Step 2: Convert to fraction form
   34,536/51,834 = 51,834/x
3. Step 3: Cross multiply
   34,536x = 51,834 × 51,834
4. Step 4: Simplify right side
   34,536x = 2,686,763,556
5. Step 5: Solve for x
   x = 2,686,763,556/34,536
6. Step 6: Final answer
   x = 77,796.03