Finding the Third Proportional to 40.50 and 384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 384.75 = 384.75 : x
2. Step 2: Convert to fraction form
   40.50/384.75 = 384.75/x
3. Step 3: Cross multiply
   40.50x = 384.75 × 384.75
4. Step 4: Simplify right side
   40.50x = 148,032.56
5. Step 5: Solve for x
   x = 148,032.56/40.50
6. Step 6: Final answer
   x = 3,655.13