Finding the Third Proportional to 83.75 and 189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83.75 : 189.25 = 189.25 : x
2. Step 2: Convert to fraction form
   83.75/189.25 = 189.25/x
3. Step 3: Cross multiply
   83.75x = 189.25 × 189.25
4. Step 4: Simplify right side
   83.75x = 35,815.56
5. Step 5: Solve for x
   x = 35,815.56/83.75
6. Step 6: Final answer
   x = 427.65