Finding the Third Proportional to 64,960 and 86,384

Step by Step Solution

1. Step 1: Write the proportion equation
   64,960 : 86,384 = 86,384 : x
2. Step 2: Convert to fraction form
   64,960/86,384 = 86,384/x
3. Step 3: Cross multiply
   64,960x = 86,384 × 86,384
4. Step 4: Simplify right side
   64,960x = 7,462,195,456
5. Step 5: Solve for x
   x = 7,462,195,456/64,960
6. Step 6: Final answer
   x = 114,873.70