Finding the Third Proportional to 3,638.81 and 5,488.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.81 : 5,488.88 = 5,488.88 : x
2. Step 2: Convert to fraction form
   3,638.81/5,488.88 = 5,488.88/x
3. Step 3: Cross multiply
   3,638.81x = 5,488.88 × 5,488.88
4. Step 4: Simplify right side
   3,638.81x = 30,127,748.77
5. Step 5: Solve for x
   x = 30,127,748.77/3,638.81
6. Step 6: Final answer
   x = 8,279.56