Finding the Third Proportional to 2,110 and 4,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,110 : 4,475.50 = 4,475.50 : x
2. Step 2: Convert to fraction form
   2,110/4,475.50 = 4,475.50/x
3. Step 3: Cross multiply
   2,110x = 4,475.50 × 4,475.50
4. Step 4: Simplify right side
   2,110x = 20,030,100.25
5. Step 5: Solve for x
   x = 20,030,100.25/2,110
6. Step 6: Final answer
   x = 9,492.94