Finding the Third Proportional to 4,620 and 5,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,620 : 5,551.50 = 5,551.50 : x
2. Step 2: Convert to fraction form
   4,620/5,551.50 = 5,551.50/x
3. Step 3: Cross multiply
   4,620x = 5,551.50 × 5,551.50
4. Step 4: Simplify right side
   4,620x = 30,819,152.25
5. Step 5: Solve for x
   x = 30,819,152.25/4,620
6. Step 6: Final answer
   x = 6,670.81