Finding the Third Proportional to 38.50 and 91.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 91.88 = 91.88 : x
2. Step 2: Convert to fraction form
   38.50/91.88 = 91.88/x
3. Step 3: Cross multiply
   38.50x = 91.88 × 91.88
4. Step 4: Simplify right side
   38.50x = 8,441.02
5. Step 5: Solve for x
   x = 8,441.02/38.50
6. Step 6: Final answer
   x = 219.25