Finding the Third Proportional to 1,415.50 and 2,182

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.50 : 2,182 = 2,182 : x
2. Step 2: Convert to fraction form
   1,415.50/2,182 = 2,182/x
3. Step 3: Cross multiply
   1,415.50x = 2,182 × 2,182
4. Step 4: Simplify right side
   1,415.50x = 4,761,124
5. Step 5: Solve for x
   x = 4,761,124/1,415.50
6. Step 6: Final answer
   x = 3,363.56