Finding the Third Proportional to 11,854.50 and 16,074

Step by Step Solution

1. Step 1: Write the proportion equation
   11,854.50 : 16,074 = 16,074 : x
2. Step 2: Convert to fraction form
   11,854.50/16,074 = 16,074/x
3. Step 3: Cross multiply
   11,854.50x = 16,074 × 16,074
4. Step 4: Simplify right side
   11,854.50x = 258,373,476
5. Step 5: Solve for x
   x = 258,373,476/11,854.50
6. Step 6: Final answer
   x = 21,795.39