Finding the Third Proportional to 69.89 and 145.27

Step by Step Solution

1. Step 1: Write the proportion equation
   69.89 : 145.27 = 145.27 : x
2. Step 2: Convert to fraction form
   69.89/145.27 = 145.27/x
3. Step 3: Cross multiply
   69.89x = 145.27 × 145.27
4. Step 4: Simplify right side
   69.89x = 21,102.10
5. Step 5: Solve for x
   x = 21,102.10/69.89
6. Step 6: Final answer
   x = 301.93