Finding the Third Proportional to 102.13 and 145.38

Step by Step Solution

1. Step 1: Write the proportion equation
   102.13 : 145.38 = 145.38 : x
2. Step 2: Convert to fraction form
   102.13/145.38 = 145.38/x
3. Step 3: Cross multiply
   102.13x = 145.38 × 145.38
4. Step 4: Simplify right side
   102.13x = 21,133.89
5. Step 5: Solve for x
   x = 21,133.89/102.13
6. Step 6: Final answer
   x = 206.94