Finding the Third Proportional to 45,696 and 68,166

Step by Step Solution

1. Step 1: Write the proportion equation
   45,696 : 68,166 = 68,166 : x
2. Step 2: Convert to fraction form
   45,696/68,166 = 68,166/x
3. Step 3: Cross multiply
   45,696x = 68,166 × 68,166
4. Step 4: Simplify right side
   45,696x = 4,646,603,556
5. Step 5: Solve for x
   x = 4,646,603,556/45,696
6. Step 6: Final answer
   x = 101,685.13