Finding the Third Proportional to 43,914 and 65,109

Step by Step Solution

1. Step 1: Write the proportion equation
   43,914 : 65,109 = 65,109 : x
2. Step 2: Convert to fraction form
   43,914/65,109 = 65,109/x
3. Step 3: Cross multiply
   43,914x = 65,109 × 65,109
4. Step 4: Simplify right side
   43,914x = 4,239,181,881
5. Step 5: Solve for x
   x = 4,239,181,881/43,914
6. Step 6: Final answer
   x = 96,533.72