Finding the Third Proportional to 45,636 and 68,274

Step by Step Solution

1. Step 1: Write the proportion equation
   45,636 : 68,274 = 68,274 : x
2. Step 2: Convert to fraction form
   45,636/68,274 = 68,274/x
3. Step 3: Cross multiply
   45,636x = 68,274 × 68,274
4. Step 4: Simplify right side
   45,636x = 4,661,339,076
5. Step 5: Solve for x
   x = 4,661,339,076/45,636
6. Step 6: Final answer
   x = 102,141.71