Finding the Third Proportional to 16,588 and 25,364

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588 : 25,364 = 25,364 : x
2. Step 2: Convert to fraction form
   16,588/25,364 = 25,364/x
3. Step 3: Cross multiply
   16,588x = 25,364 × 25,364
4. Step 4: Simplify right side
   16,588x = 643,332,496
5. Step 5: Solve for x
   x = 643,332,496/16,588
6. Step 6: Final answer
   x = 38,783.01