Finding the Third Proportional to 16,412 and 23,225

Step by Step Solution

1. Step 1: Write the proportion equation
   16,412 : 23,225 = 23,225 : x
2. Step 2: Convert to fraction form
   16,412/23,225 = 23,225/x
3. Step 3: Cross multiply
   16,412x = 23,225 × 23,225
4. Step 4: Simplify right side
   16,412x = 539,400,625
5. Step 5: Solve for x
   x = 539,400,625/16,412
6. Step 6: Final answer
   x = 32,866.23