Finding the Third Proportional to 1,005.75 and 2,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 2,200.50 = 2,200.50 : x
2. Step 2: Convert to fraction form
   1,005.75/2,200.50 = 2,200.50/x
3. Step 3: Cross multiply
   1,005.75x = 2,200.50 × 2,200.50
4. Step 4: Simplify right side
   1,005.75x = 4,842,200.25
5. Step 5: Solve for x
   x = 4,842,200.25/1,005.75
6. Step 6: Final answer
   x = 4,814.52