Finding the Third Proportional to 36.63 and 86.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36.63 : 86.50 = 86.50 : x
2. Step 2: Convert to fraction form
   36.63/86.50 = 86.50/x
3. Step 3: Cross multiply
   36.63x = 86.50 × 86.50
4. Step 4: Simplify right side
   36.63x = 7,482.25
5. Step 5: Solve for x
   x = 7,482.25/36.63
6. Step 6: Final answer
   x = 204.29