Finding the Third Proportional to 33,984 and 45,666

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 45,666 = 45,666 : x
2. Step 2: Convert to fraction form
   33,984/45,666 = 45,666/x
3. Step 3: Cross multiply
   33,984x = 45,666 × 45,666
4. Step 4: Simplify right side
   33,984x = 2,085,383,556
5. Step 5: Solve for x
   x = 2,085,383,556/33,984
6. Step 6: Final answer
   x = 61,363.69