Finding the Third Proportional to 16,580 and 25,356

Step by Step Solution

1. Step 1: Write the proportion equation
   16,580 : 25,356 = 25,356 : x
2. Step 2: Convert to fraction form
   16,580/25,356 = 25,356/x
3. Step 3: Cross multiply
   16,580x = 25,356 × 25,356
4. Step 4: Simplify right side
   16,580x = 642,926,736
5. Step 5: Solve for x
   x = 642,926,736/16,580
6. Step 6: Final answer
   x = 38,777.25