Finding the Third Proportional to 1,588.50 and 2,405.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.50 : 2,405.25 = 2,405.25 : x
2. Step 2: Convert to fraction form
   1,588.50/2,405.25 = 2,405.25/x
3. Step 3: Cross multiply
   1,588.50x = 2,405.25 × 2,405.25
4. Step 4: Simplify right side
   1,588.50x = 5,785,227.56
5. Step 5: Solve for x
   x = 5,785,227.56/1,588.50
6. Step 6: Final answer
   x = 3,641.94