Finding the Third Proportional to 83.53 and 134.16

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 134.16 = 134.16 : x
2. Step 2: Convert to fraction form
   83.53/134.16 = 134.16/x
3. Step 3: Cross multiply
   83.53x = 134.16 × 134.16
4. Step 4: Simplify right side
   83.53x = 17,997.90
5. Step 5: Solve for x
   x = 17,997.90/83.53
6. Step 6: Final answer
   x = 215.46