Finding the Third Proportional to 4,116 and 5,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,116 : 5,503.50 = 5,503.50 : x
2. Step 2: Convert to fraction form
   4,116/5,503.50 = 5,503.50/x
3. Step 3: Cross multiply
   4,116x = 5,503.50 × 5,503.50
4. Step 4: Simplify right side
   4,116x = 30,288,512.25
5. Step 5: Solve for x
   x = 30,288,512.25/4,116
6. Step 6: Final answer
   x = 7,358.73