Finding the Third Proportional to 1,413 and 1,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413 : 1,595.25 = 1,595.25 : x
2. Step 2: Convert to fraction form
   1,413/1,595.25 = 1,595.25/x
3. Step 3: Cross multiply
   1,413x = 1,595.25 × 1,595.25
4. Step 4: Simplify right side
   1,413x = 2,544,822.56
5. Step 5: Solve for x
   x = 2,544,822.56/1,413
6. Step 6: Final answer
   x = 1,801.01