Finding the Third Proportional to 34,843 and 76,361

Step by Step Solution

1. Step 1: Write the proportion equation
   34,843 : 76,361 = 76,361 : x
2. Step 2: Convert to fraction form
   34,843/76,361 = 76,361/x
3. Step 3: Cross multiply
   34,843x = 76,361 × 76,361
4. Step 4: Simplify right side
   34,843x = 5,831,002,321
5. Step 5: Solve for x
   x = 5,831,002,321/34,843
6. Step 6: Final answer
   x = 167,350.75