Finding the Third Proportional to 69.77 and 164.45

Step by Step Solution

1. Step 1: Write the proportion equation
   69.77 : 164.45 = 164.45 : x
2. Step 2: Convert to fraction form
   69.77/164.45 = 164.45/x
3. Step 3: Cross multiply
   69.77x = 164.45 × 164.45
4. Step 4: Simplify right side
   69.77x = 27,044.51
5. Step 5: Solve for x
   x = 27,044.51/69.77
6. Step 6: Final answer
   x = 387.64