Finding the Third Proportional to 33,045 and 69,321

Step by Step Solution

1. Step 1: Write the proportion equation
   33,045 : 69,321 = 69,321 : x
2. Step 2: Convert to fraction form
   33,045/69,321 = 69,321/x
3. Step 3: Cross multiply
   33,045x = 69,321 × 69,321
4. Step 4: Simplify right side
   33,045x = 4,805,401,041
5. Step 5: Solve for x
   x = 4,805,401,041/33,045
6. Step 6: Final answer
   x = 145,419.91