Finding the Third Proportional to 7,674.75 and 16,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674.75 : 16,826.06 = 16,826.06 : x
2. Step 2: Convert to fraction form
   7,674.75/16,826.06 = 16,826.06/x
3. Step 3: Cross multiply
   7,674.75x = 16,826.06 × 16,826.06
4. Step 4: Simplify right side
   7,674.75x = 283,116,379.25
5. Step 5: Solve for x
   x = 283,116,379.25/7,674.75
6. Step 6: Final answer
   x = 36,889.33