Finding the Third Proportional to 10,184.06 and 16,205.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184.06 : 16,205.06 = 16,205.06 : x
2. Step 2: Convert to fraction form
   10,184.06/16,205.06 = 16,205.06/x
3. Step 3: Cross multiply
   10,184.06x = 16,205.06 × 16,205.06
4. Step 4: Simplify right side
   10,184.06x = 262,604,050.63
5. Step 5: Solve for x
   x = 262,604,050.63/10,184.06
6. Step 6: Final answer
   x = 25,785.79