Finding the Third Proportional to 7,646.06 and 16,797.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646.06 : 16,797.38 = 16,797.38 : x
2. Step 2: Convert to fraction form
   7,646.06/16,797.38 = 16,797.38/x
3. Step 3: Cross multiply
   7,646.06x = 16,797.38 × 16,797.38
4. Step 4: Simplify right side
   7,646.06x = 282,151,806.89
5. Step 5: Solve for x
   x = 282,151,806.89/7,646.06
6. Step 6: Final answer
   x = 36,901.58