Finding the Third Proportional to 1,081.50 and 1,653

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.50 : 1,653 = 1,653 : x
2. Step 2: Convert to fraction form
   1,081.50/1,653 = 1,653/x
3. Step 3: Cross multiply
   1,081.50x = 1,653 × 1,653
4. Step 4: Simplify right side
   1,081.50x = 2,732,409
5. Step 5: Solve for x
   x = 2,732,409/1,081.50
6. Step 6: Final answer
   x = 2,526.50