Finding the Third Proportional to 35,814 and 68,105

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 68,105 = 68,105 : x
2. Step 2: Convert to fraction form
   35,814/68,105 = 68,105/x
3. Step 3: Cross multiply
   35,814x = 68,105 × 68,105
4. Step 4: Simplify right side
   35,814x = 4,638,291,025
5. Step 5: Solve for x
   x = 4,638,291,025/35,814
6. Step 6: Final answer
   x = 129,510.56