Finding the Third Proportional to 21,520 and 33,780

Step by Step Solution

1. Step 1: Write the proportion equation
   21,520 : 33,780 = 33,780 : x
2. Step 2: Convert to fraction form
   21,520/33,780 = 33,780/x
3. Step 3: Cross multiply
   21,520x = 33,780 × 33,780
4. Step 4: Simplify right side
   21,520x = 1,141,088,400
5. Step 5: Solve for x
   x = 1,141,088,400/21,520
6. Step 6: Final answer
   x = 53,024.55