Finding the Third Proportional to 37.50 and 89.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 89.75 = 89.75 : x
2. Step 2: Convert to fraction form
   37.50/89.75 = 89.75/x
3. Step 3: Cross multiply
   37.50x = 89.75 × 89.75
4. Step 4: Simplify right side
   37.50x = 8,055.06
5. Step 5: Solve for x
   x = 8,055.06/37.50
6. Step 6: Final answer
   x = 214.80