Finding the Third Proportional to 64,766 and 86,084

Step by Step Solution

1. Step 1: Write the proportion equation
   64,766 : 86,084 = 86,084 : x
2. Step 2: Convert to fraction form
   64,766/86,084 = 86,084/x
3. Step 3: Cross multiply
   64,766x = 86,084 × 86,084
4. Step 4: Simplify right side
   64,766x = 7,410,455,056
5. Step 5: Solve for x
   x = 7,410,455,056/64,766
6. Step 6: Final answer
   x = 114,418.91