Finding the Third Proportional to 19,099 and 41,965

Step by Step Solution

1. Step 1: Write the proportion equation
   19,099 : 41,965 = 41,965 : x
2. Step 2: Convert to fraction form
   19,099/41,965 = 41,965/x
3. Step 3: Cross multiply
   19,099x = 41,965 × 41,965
4. Step 4: Simplify right side
   19,099x = 1,761,061,225
5. Step 5: Solve for x
   x = 1,761,061,225/19,099
6. Step 6: Final answer
   x = 92,206.99