Finding the Third Proportional to 1,820.50 and 2,732.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.50 : 2,732.56 = 2,732.56 : x
2. Step 2: Convert to fraction form
   1,820.50/2,732.56 = 2,732.56/x
3. Step 3: Cross multiply
   1,820.50x = 2,732.56 × 2,732.56
4. Step 4: Simplify right side
   1,820.50x = 7,466,867.69
5. Step 5: Solve for x
   x = 7,466,867.69/1,820.50
6. Step 6: Final answer
   x = 4,101.54