Finding the Third Proportional to 22,078 and 33,780

Step by Step Solution

1. Step 1: Write the proportion equation
   22,078 : 33,780 = 33,780 : x
2. Step 2: Convert to fraction form
   22,078/33,780 = 33,780/x
3. Step 3: Cross multiply
   22,078x = 33,780 × 33,780
4. Step 4: Simplify right side
   22,078x = 1,141,088,400
5. Step 5: Solve for x
   x = 1,141,088,400/22,078
6. Step 6: Final answer
   x = 51,684.41