Finding the Third Proportional to 1,665.56 and 2,252.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 2,252.81 = 2,252.81 : x
2. Step 2: Convert to fraction form
   1,665.56/2,252.81 = 2,252.81/x
3. Step 3: Cross multiply
   1,665.56x = 2,252.81 × 2,252.81
4. Step 4: Simplify right side
   1,665.56x = 5,075,164.16
5. Step 5: Solve for x
   x = 5,075,164.16/1,665.56
6. Step 6: Final answer
   x = 3,047.12