Finding the Third Proportional to 16,413 and 23,226

Step by Step Solution

1. Step 1: Write the proportion equation
   16,413 : 23,226 = 23,226 : x
2. Step 2: Convert to fraction form
   16,413/23,226 = 23,226/x
3. Step 3: Cross multiply
   16,413x = 23,226 × 23,226
4. Step 4: Simplify right side
   16,413x = 539,447,076
5. Step 5: Solve for x
   x = 539,447,076/16,413
6. Step 6: Final answer
   x = 32,867.06