Finding the Third Proportional to 67,692 and 102,834

Step by Step Solution

1. Step 1: Write the proportion equation
   67,692 : 102,834 = 102,834 : x
2. Step 2: Convert to fraction form
   67,692/102,834 = 102,834/x
3. Step 3: Cross multiply
   67,692x = 102,834 × 102,834
4. Step 4: Simplify right side
   67,692x = 10,574,831,556
5. Step 5: Solve for x
   x = 10,574,831,556/67,692
6. Step 6: Final answer
   x = 156,219.81