Finding the Third Proportional to 23,006 and 33,780

Step by Step Solution

1. Step 1: Write the proportion equation
   23,006 : 33,780 = 33,780 : x
2. Step 2: Convert to fraction form
   23,006/33,780 = 33,780/x
3. Step 3: Cross multiply
   23,006x = 33,780 × 33,780
4. Step 4: Simplify right side
   23,006x = 1,141,088,400
5. Step 5: Solve for x
   x = 1,141,088,400/23,006
6. Step 6: Final answer
   x = 49,599.60