Finding the Third Proportional to 43,828 and 65,066

Step by Step Solution

1. Step 1: Write the proportion equation
   43,828 : 65,066 = 65,066 : x
2. Step 2: Convert to fraction form
   43,828/65,066 = 65,066/x
3. Step 3: Cross multiply
   43,828x = 65,066 × 65,066
4. Step 4: Simplify right side
   43,828x = 4,233,584,356
5. Step 5: Solve for x
   x = 4,233,584,356/43,828
6. Step 6: Final answer
   x = 96,595.43