Finding the Third Proportional to 21,214 and 33,584

Step by Step Solution

1. Step 1: Write the proportion equation
   21,214 : 33,584 = 33,584 : x
2. Step 2: Convert to fraction form
   21,214/33,584 = 33,584/x
3. Step 3: Cross multiply
   21,214x = 33,584 × 33,584
4. Step 4: Simplify right side
   21,214x = 1,127,885,056
5. Step 5: Solve for x
   x = 1,127,885,056/21,214
6. Step 6: Final answer
   x = 53,167.01