Finding the Third Proportional to 1,525 and 2,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525 : 2,081.50 = 2,081.50 : x
2. Step 2: Convert to fraction form
   1,525/2,081.50 = 2,081.50/x
3. Step 3: Cross multiply
   1,525x = 2,081.50 × 2,081.50
4. Step 4: Simplify right side
   1,525x = 4,332,642.25
5. Step 5: Solve for x
   x = 4,332,642.25/1,525
6. Step 6: Final answer
   x = 2,841.08