Finding the Third Proportional to 10,271.81 and 16,488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.81 : 16,488.56 = 16,488.56 : x
2. Step 2: Convert to fraction form
   10,271.81/16,488.56 = 16,488.56/x
3. Step 3: Cross multiply
   10,271.81x = 16,488.56 × 16,488.56
4. Step 4: Simplify right side
   10,271.81x = 271,872,693.32
5. Step 5: Solve for x
   x = 271,872,693.32/10,271.81
6. Step 6: Final answer
   x = 26,467.84