Finding the Third Proportional to 68.27 and 102.16

Step by Step Solution

1. Step 1: Write the proportion equation
   68.27 : 102.16 = 102.16 : x
2. Step 2: Convert to fraction form
   68.27/102.16 = 102.16/x
3. Step 3: Cross multiply
   68.27x = 102.16 × 102.16
4. Step 4: Simplify right side
   68.27x = 10,437.50
5. Step 5: Solve for x
   x = 10,437.50/68.27
6. Step 6: Final answer
   x = 152.88