Finding the Third Proportional to 4,216.50 and 5,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,216.50 : 5,384.25 = 5,384.25 : x
2. Step 2: Convert to fraction form
   4,216.50/5,384.25 = 5,384.25/x
3. Step 3: Cross multiply
   4,216.50x = 5,384.25 × 5,384.25
4. Step 4: Simplify right side
   4,216.50x = 28,990,148.06
5. Step 5: Solve for x
   x = 28,990,148.06/4,216.50
6. Step 6: Final answer
   x = 6,875.41