Finding the Third Proportional to 43,686 and 65,460

Step by Step Solution

1. Step 1: Write the proportion equation
   43,686 : 65,460 = 65,460 : x
2. Step 2: Convert to fraction form
   43,686/65,460 = 65,460/x
3. Step 3: Cross multiply
   43,686x = 65,460 × 65,460
4. Step 4: Simplify right side
   43,686x = 4,285,011,600
5. Step 5: Solve for x
   x = 4,285,011,600/43,686
6. Step 6: Final answer
   x = 98,086.61