Finding the Third Proportional to 33,102 and 46,304

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 46,304 = 46,304 : x
2. Step 2: Convert to fraction form
   33,102/46,304 = 46,304/x
3. Step 3: Cross multiply
   33,102x = 46,304 × 46,304
4. Step 4: Simplify right side
   33,102x = 2,144,060,416
5. Step 5: Solve for x
   x = 2,144,060,416/33,102
6. Step 6: Final answer
   x = 64,771.33