Finding the Third Proportional to 33,384 and 62,564

Step by Step Solution

1. Step 1: Write the proportion equation
   33,384 : 62,564 = 62,564 : x
2. Step 2: Convert to fraction form
   33,384/62,564 = 62,564/x
3. Step 3: Cross multiply
   33,384x = 62,564 × 62,564
4. Step 4: Simplify right side
   33,384x = 3,914,254,096
5. Step 5: Solve for x
   x = 3,914,254,096/33,384
6. Step 6: Final answer
   x = 117,249.40