Finding the Third Proportional to 19,253 and 41,665

Step by Step Solution

1. Step 1: Write the proportion equation
   19,253 : 41,665 = 41,665 : x
2. Step 2: Convert to fraction form
   19,253/41,665 = 41,665/x
3. Step 3: Cross multiply
   19,253x = 41,665 × 41,665
4. Step 4: Simplify right side
   19,253x = 1,735,972,225
5. Step 5: Solve for x
   x = 1,735,972,225/19,253
6. Step 6: Final answer
   x = 90,166.32