Finding the Third Proportional to 41,897 and 65,168

Step by Step Solution

1. Step 1: Write the proportion equation
   41,897 : 65,168 = 65,168 : x
2. Step 2: Convert to fraction form
   41,897/65,168 = 65,168/x
3. Step 3: Cross multiply
   41,897x = 65,168 × 65,168
4. Step 4: Simplify right side
   41,897x = 4,246,868,224
5. Step 5: Solve for x
   x = 4,246,868,224/41,897
6. Step 6: Final answer
   x = 101,364.49