Finding the Third Proportional to 1,564.56 and 2,187.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.56 : 2,187.38 = 2,187.38 : x
2. Step 2: Convert to fraction form
   1,564.56/2,187.38 = 2,187.38/x
3. Step 3: Cross multiply
   1,564.56x = 2,187.38 × 2,187.38
4. Step 4: Simplify right side
   1,564.56x = 4,784,609.39
5. Step 5: Solve for x
   x = 4,784,609.39/1,564.56
6. Step 6: Final answer
   x = 3,058.11