Finding the Third Proportional to 1,880.50 and 4,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,880.50 : 4,353.50 = 4,353.50 : x
2. Step 2: Convert to fraction form
   1,880.50/4,353.50 = 4,353.50/x
3. Step 3: Cross multiply
   1,880.50x = 4,353.50 × 4,353.50
4. Step 4: Simplify right side
   1,880.50x = 18,952,962.25
5. Step 5: Solve for x
   x = 18,952,962.25/1,880.50
6. Step 6: Final answer
   x = 10,078.68