Finding the Third Proportional to 102.75 and 152.06

Step by Step Solution

1. Step 1: Write the proportion equation
   102.75 : 152.06 = 152.06 : x
2. Step 2: Convert to fraction form
   102.75/152.06 = 152.06/x
3. Step 3: Cross multiply
   102.75x = 152.06 × 152.06
4. Step 4: Simplify right side
   102.75x = 23,123.00
5. Step 5: Solve for x
   x = 23,123.00/102.75
6. Step 6: Final answer
   x = 225.04