Finding the Third Proportional to 1,587.38 and 2,453.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.38 : 2,453.06 = 2,453.06 : x
2. Step 2: Convert to fraction form
   1,587.38/2,453.06 = 2,453.06/x
3. Step 3: Cross multiply
   1,587.38x = 2,453.06 × 2,453.06
4. Step 4: Simplify right side
   1,587.38x = 6,017,515.63
5. Step 5: Solve for x
   x = 6,017,515.63/1,587.38
6. Step 6: Final answer
   x = 3,790.86