Finding the Third Proportional to 16,264 and 23,780

Step by Step Solution

1. Step 1: Write the proportion equation
   16,264 : 23,780 = 23,780 : x
2. Step 2: Convert to fraction form
   16,264/23,780 = 23,780/x
3. Step 3: Cross multiply
   16,264x = 23,780 × 23,780
4. Step 4: Simplify right side
   16,264x = 565,488,400
5. Step 5: Solve for x
   x = 565,488,400/16,264
6. Step 6: Final answer
   x = 34,769.33