Finding the Third Proportional to 1,503.56 and 2,786.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503.56 : 2,786.06 = 2,786.06 : x
2. Step 2: Convert to fraction form
   1,503.56/2,786.06 = 2,786.06/x
3. Step 3: Cross multiply
   1,503.56x = 2,786.06 × 2,786.06
4. Step 4: Simplify right side
   1,503.56x = 7,762,144.25
5. Step 5: Solve for x
   x = 7,762,144.25/1,503.56
6. Step 6: Final answer
   x = 5,162.50