Finding the Third Proportional to 10,733.06 and 16,419.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,733.06 : 16,419.38 = 16,419.38 : x
2. Step 2: Convert to fraction form
   10,733.06/16,419.38 = 16,419.38/x
3. Step 3: Cross multiply
   10,733.06x = 16,419.38 × 16,419.38
4. Step 4: Simplify right side
   10,733.06x = 269,595,875.39
5. Step 5: Solve for x
   x = 269,595,875.39/10,733.06
6. Step 6: Final answer
   x = 25,118.26