Finding the Third Proportional to 38.50 and 58.54

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 58.54 = 58.54 : x
2. Step 2: Convert to fraction form
   38.50/58.54 = 58.54/x
3. Step 3: Cross multiply
   38.50x = 58.54 × 58.54
4. Step 4: Simplify right side
   38.50x = 3,426.36
5. Step 5: Solve for x
   x = 3,426.36/38.50
6. Step 6: Final answer
   x = 89.01