Finding the Third Proportional to 127.84 and 145.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127.84 : 145.56 = 145.56 : x
2. Step 2: Convert to fraction form
   127.84/145.56 = 145.56/x
3. Step 3: Cross multiply
   127.84x = 145.56 × 145.56
4. Step 4: Simplify right side
   127.84x = 21,188.44
5. Step 5: Solve for x
   x = 21,188.44/127.84
6. Step 6: Final answer
   x = 165.74