Finding the Third Proportional to 67.63 and 102.16

Step by Step Solution

1. Step 1: Write the proportion equation
   67.63 : 102.16 = 102.16 : x
2. Step 2: Convert to fraction form
   67.63/102.16 = 102.16/x
3. Step 3: Cross multiply
   67.63x = 102.16 × 102.16
4. Step 4: Simplify right side
   67.63x = 10,436.60
5. Step 5: Solve for x
   x = 10,436.60/67.63
6. Step 6: Final answer
   x = 154.31