Finding the Third Proportional to 83.11 and 101.46

Step by Step Solution

1. Step 1: Write the proportion equation
   83.11 : 101.46 = 101.46 : x
2. Step 2: Convert to fraction form
   83.11/101.46 = 101.46/x
3. Step 3: Cross multiply
   83.11x = 101.46 × 101.46
4. Step 4: Simplify right side
   83.11x = 10,294.32
5. Step 5: Solve for x
   x = 10,294.32/83.11
6. Step 6: Final answer
   x = 123.86