Finding the Third Proportional to 69.50 and 164.13

Step by Step Solution

1. Step 1: Write the proportion equation
   69.50 : 164.13 = 164.13 : x
2. Step 2: Convert to fraction form
   69.50/164.13 = 164.13/x
3. Step 3: Cross multiply
   69.50x = 164.13 × 164.13
4. Step 4: Simplify right side
   69.50x = 26,937.02
5. Step 5: Solve for x
   x = 26,937.02/69.50
6. Step 6: Final answer
   x = 387.58