Finding the Third Proportional to 21,780 and 33,786

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780 : 33,786 = 33,786 : x
2. Step 2: Convert to fraction form
   21,780/33,786 = 33,786/x
3. Step 3: Cross multiply
   21,780x = 33,786 × 33,786
4. Step 4: Simplify right side
   21,780x = 1,141,493,796
5. Step 5: Solve for x
   x = 1,141,493,796/21,780
6. Step 6: Final answer
   x = 52,410.18