Finding the Third Proportional to 21,204 and 32,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,204 : 32,974.50 = 32,974.50 : x
2. Step 2: Convert to fraction form
   21,204/32,974.50 = 32,974.50/x
3. Step 3: Cross multiply
   21,204x = 32,974.50 × 32,974.50
4. Step 4: Simplify right side
   21,204x = 1,087,317,650.25
5. Step 5: Solve for x
   x = 1,087,317,650.25/21,204
6. Step 6: Final answer
   x = 51,278.89