Finding the Third Proportional to 4,230 and 5,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,230 : 5,548.50 = 5,548.50 : x
2. Step 2: Convert to fraction form
   4,230/5,548.50 = 5,548.50/x
3. Step 3: Cross multiply
   4,230x = 5,548.50 × 5,548.50
4. Step 4: Simplify right side
   4,230x = 30,785,852.25
5. Step 5: Solve for x
   x = 30,785,852.25/4,230
6. Step 6: Final answer
   x = 7,277.98