Finding the Third Proportional to 42 and 91.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42 : 91.50 = 91.50 : x
2. Step 2: Convert to fraction form
   42/91.50 = 91.50/x
3. Step 3: Cross multiply
   42x = 91.50 × 91.50
4. Step 4: Simplify right side
   42x = 8,372.25
5. Step 5: Solve for x
   x = 8,372.25/42
6. Step 6: Final answer
   x = 199.34