Finding the Third Proportional to 7,826.06 and 16,012.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.06 : 16,012.13 = 16,012.13 : x
2. Step 2: Convert to fraction form
   7,826.06/16,012.13 = 16,012.13/x
3. Step 3: Cross multiply
   7,826.06x = 16,012.13 × 16,012.13
4. Step 4: Simplify right side
   7,826.06x = 256,388,147.02
5. Step 5: Solve for x
   x = 256,388,147.02/7,826.06
6. Step 6: Final answer
   x = 32,760.81