Finding the Third Proportional to 83.53 and 101.67

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 101.67 = 101.67 : x
2. Step 2: Convert to fraction form
   83.53/101.67 = 101.67/x
3. Step 3: Cross multiply
   83.53x = 101.67 × 101.67
4. Step 4: Simplify right side
   83.53x = 10,337.17
5. Step 5: Solve for x
   x = 10,337.17/83.53
6. Step 6: Final answer
   x = 123.75