Finding the Third Proportional to 16,580 and 35,628

Step by Step Solution

1. Step 1: Write the proportion equation
   16,580 : 35,628 = 35,628 : x
2. Step 2: Convert to fraction form
   16,580/35,628 = 35,628/x
3. Step 3: Cross multiply
   16,580x = 35,628 × 35,628
4. Step 4: Simplify right side
   16,580x = 1,269,354,384
5. Step 5: Solve for x
   x = 1,269,354,384/16,580
6. Step 6: Final answer
   x = 76,559.37