Finding the Third Proportional to 43,274 and 65,802

Step by Step Solution

1. Step 1: Write the proportion equation
   43,274 : 65,802 = 65,802 : x
2. Step 2: Convert to fraction form
   43,274/65,802 = 65,802/x
3. Step 3: Cross multiply
   43,274x = 65,802 × 65,802
4. Step 4: Simplify right side
   43,274x = 4,329,903,204
5. Step 5: Solve for x
   x = 4,329,903,204/43,274
6. Step 6: Final answer
   x = 100,057.85