Finding the Third Proportional to 1,466.38 and 2,196.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.38 : 2,196.88 = 2,196.88 : x
2. Step 2: Convert to fraction form
   1,466.38/2,196.88 = 2,196.88/x
3. Step 3: Cross multiply
   1,466.38x = 2,196.88 × 2,196.88
4. Step 4: Simplify right side
   1,466.38x = 4,826,259.77
5. Step 5: Solve for x
   x = 4,826,259.77/1,466.38
6. Step 6: Final answer
   x = 3,291.29