Finding the Third Proportional to 37.10 and 89.89

Step by Step Solution

1. Step 1: Write the proportion equation
   37.10 : 89.89 = 89.89 : x
2. Step 2: Convert to fraction form
   37.10/89.89 = 89.89/x
3. Step 3: Cross multiply
   37.10x = 89.89 × 89.89
4. Step 4: Simplify right side
   37.10x = 8,079.97
5. Step 5: Solve for x
   x = 8,079.97/37.10
6. Step 6: Final answer
   x = 217.81