Finding the Third Proportional to 7,205.63 and 16,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,205.63 : 16,826.06 = 16,826.06 : x
2. Step 2: Convert to fraction form
   7,205.63/16,826.06 = 16,826.06/x
3. Step 3: Cross multiply
   7,205.63x = 16,826.06 × 16,826.06
4. Step 4: Simplify right side
   7,205.63x = 283,116,379.25
5. Step 5: Solve for x
   x = 283,116,379.25/7,205.63
6. Step 6: Final answer
   x = 39,291.02