Finding the Third Proportional to 34,686 and 74,834

Step by Step Solution

1. Step 1: Write the proportion equation
   34,686 : 74,834 = 74,834 : x
2. Step 2: Convert to fraction form
   34,686/74,834 = 74,834/x
3. Step 3: Cross multiply
   34,686x = 74,834 × 74,834
4. Step 4: Simplify right side
   34,686x = 5,600,127,556
5. Step 5: Solve for x
   x = 5,600,127,556/34,686
6. Step 6: Final answer
   x = 161,452.10