Finding the Third Proportional to 37.69 and 89.16

Step by Step Solution

1. Step 1: Write the proportion equation
   37.69 : 89.16 = 89.16 : x
2. Step 2: Convert to fraction form
   37.69/89.16 = 89.16/x
3. Step 3: Cross multiply
   37.69x = 89.16 × 89.16
4. Step 4: Simplify right side
   37.69x = 7,948.84
5. Step 5: Solve for x
   x = 7,948.84/37.69
6. Step 6: Final answer
   x = 210.91