Finding the Third Proportional to 102 and 145.31

Step by Step Solution

1. Step 1: Write the proportion equation
   102 : 145.31 = 145.31 : x
2. Step 2: Convert to fraction form
   102/145.31 = 145.31/x
3. Step 3: Cross multiply
   102x = 145.31 × 145.31
4. Step 4: Simplify right side
   102x = 21,115.72
5. Step 5: Solve for x
   x = 21,115.72/102
6. Step 6: Final answer
   x = 207.02