Finding the Third Proportional to 36.56 and 86.06

Step by Step Solution

1. Step 1: Write the proportion equation
   36.56 : 86.06 = 86.06 : x
2. Step 2: Convert to fraction form
   36.56/86.06 = 86.06/x
3. Step 3: Cross multiply
   36.56x = 86.06 × 86.06
4. Step 4: Simplify right side
   36.56x = 7,406.75
5. Step 5: Solve for x
   x = 7,406.75/36.56
6. Step 6: Final answer
   x = 202.58