Finding the Third Proportional to 21,208 and 33,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,208 : 33,576.50 = 33,576.50 : x
2. Step 2: Convert to fraction form
   21,208/33,576.50 = 33,576.50/x
3. Step 3: Cross multiply
   21,208x = 33,576.50 × 33,576.50
4. Step 4: Simplify right side
   21,208x = 1,127,381,352.25
5. Step 5: Solve for x
   x = 1,127,381,352.25/21,208
6. Step 6: Final answer
   x = 53,158.31