Finding the Third Proportional to 33,048 and 64,416

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 64,416 = 64,416 : x
2. Step 2: Convert to fraction form
   33,048/64,416 = 64,416/x
3. Step 3: Cross multiply
   33,048x = 64,416 × 64,416
4. Step 4: Simplify right side
   33,048x = 4,149,421,056
5. Step 5: Solve for x
   x = 4,149,421,056/33,048
6. Step 6: Final answer
   x = 125,557.40