Finding the Third Proportional to 16,546 and 25,209

Step by Step Solution

1. Step 1: Write the proportion equation
   16,546 : 25,209 = 25,209 : x
2. Step 2: Convert to fraction form
   16,546/25,209 = 25,209/x
3. Step 3: Cross multiply
   16,546x = 25,209 × 25,209
4. Step 4: Simplify right side
   16,546x = 635,493,681
5. Step 5: Solve for x
   x = 635,493,681/16,546
6. Step 6: Final answer
   x = 38,407.69