Finding the Third Proportional to 16,546 and 25,591

Step by Step Solution

1. Step 1: Write the proportion equation
   16,546 : 25,591 = 25,591 : x
2. Step 2: Convert to fraction form
   16,546/25,591 = 25,591/x
3. Step 3: Cross multiply
   16,546x = 25,591 × 25,591
4. Step 4: Simplify right side
   16,546x = 654,899,281
5. Step 5: Solve for x
   x = 654,899,281/16,546
6. Step 6: Final answer
   x = 39,580.52