Finding the Third Proportional to 1,000.50 and 1,853.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.50 : 1,853.25 = 1,853.25 : x
2. Step 2: Convert to fraction form
   1,000.50/1,853.25 = 1,853.25/x
3. Step 3: Cross multiply
   1,000.50x = 1,853.25 × 1,853.25
4. Step 4: Simplify right side
   1,000.50x = 3,434,535.56
5. Step 5: Solve for x
   x = 3,434,535.56/1,000.50
6. Step 6: Final answer
   x = 3,432.82