Finding the Third Proportional to 21,210 and 33,688

Step by Step Solution

1. Step 1: Write the proportion equation
   21,210 : 33,688 = 33,688 : x
2. Step 2: Convert to fraction form
   21,210/33,688 = 33,688/x
3. Step 3: Cross multiply
   21,210x = 33,688 × 33,688
4. Step 4: Simplify right side
   21,210x = 1,134,881,344
5. Step 5: Solve for x
   x = 1,134,881,344/21,210
6. Step 6: Final answer
   x = 53,506.90