Finding the Third Proportional to 21,786 and 33,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,786 : 33,529.50 = 33,529.50 : x
2. Step 2: Convert to fraction form
   21,786/33,529.50 = 33,529.50/x
3. Step 3: Cross multiply
   21,786x = 33,529.50 × 33,529.50
4. Step 4: Simplify right side
   21,786x = 1,124,227,370.25
5. Step 5: Solve for x
   x = 1,124,227,370.25/21,786
6. Step 6: Final answer
   x = 51,603.20