Finding the Third Proportional to 1,000.50 and 2,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.50 : 2,109.50 = 2,109.50 : x
2. Step 2: Convert to fraction form
   1,000.50/2,109.50 = 2,109.50/x
3. Step 3: Cross multiply
   1,000.50x = 2,109.50 × 2,109.50
4. Step 4: Simplify right side
   1,000.50x = 4,449,990.25
5. Step 5: Solve for x
   x = 4,449,990.25/1,000.50
6. Step 6: Final answer
   x = 4,447.77