Finding the Third Proportional to 35,348 and 76,834

Step by Step Solution

1. Step 1: Write the proportion equation
   35,348 : 76,834 = 76,834 : x
2. Step 2: Convert to fraction form
   35,348/76,834 = 76,834/x
3. Step 3: Cross multiply
   35,348x = 76,834 × 76,834
4. Step 4: Simplify right side
   35,348x = 5,903,463,556
5. Step 5: Solve for x
   x = 5,903,463,556/35,348
6. Step 6: Final answer
   x = 167,009.83