Finding the Third Proportional to 64,719 and 86,022

Step by Step Solution

1. Step 1: Write the proportion equation
   64,719 : 86,022 = 86,022 : x
2. Step 2: Convert to fraction form
   64,719/86,022 = 86,022/x
3. Step 3: Cross multiply
   64,719x = 86,022 × 86,022
4. Step 4: Simplify right side
   64,719x = 7,399,784,484
5. Step 5: Solve for x
   x = 7,399,784,484/64,719
6. Step 6: Final answer
   x = 114,337.13