Finding the Third Proportional to 38.75 and 45.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38.75 : 45.50 = 45.50 : x
2. Step 2: Convert to fraction form
   38.75/45.50 = 45.50/x
3. Step 3: Cross multiply
   38.75x = 45.50 × 45.50
4. Step 4: Simplify right side
   38.75x = 2,070.25
5. Step 5: Solve for x
   x = 2,070.25/38.75
6. Step 6: Final answer
   x = 53.43