Finding the Third Proportional to 1,567 and 1,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567 : 1,823.50 = 1,823.50 : x
2. Step 2: Convert to fraction form
   1,567/1,823.50 = 1,823.50/x
3. Step 3: Cross multiply
   1,567x = 1,823.50 × 1,823.50
4. Step 4: Simplify right side
   1,567x = 3,325,152.25
5. Step 5: Solve for x
   x = 3,325,152.25/1,567
6. Step 6: Final answer
   x = 2,121.99