Finding the Third Proportional to 1,588.50 and 3,480.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.50 : 3,480.75 = 3,480.75 : x
2. Step 2: Convert to fraction form
   1,588.50/3,480.75 = 3,480.75/x
3. Step 3: Cross multiply
   1,588.50x = 3,480.75 × 3,480.75
4. Step 4: Simplify right side
   1,588.50x = 12,115,620.56
5. Step 5: Solve for x
   x = 12,115,620.56/1,588.50
6. Step 6: Final answer
   x = 7,627.08