Finding the Third Proportional to 33,036 and 64,410

Step by Step Solution

1. Step 1: Write the proportion equation
   33,036 : 64,410 = 64,410 : x
2. Step 2: Convert to fraction form
   33,036/64,410 = 64,410/x
3. Step 3: Cross multiply
   33,036x = 64,410 × 64,410
4. Step 4: Simplify right side
   33,036x = 4,148,648,100
5. Step 5: Solve for x
   x = 4,148,648,100/33,036
6. Step 6: Final answer
   x = 125,579.61