Finding the Third Proportional to 33,505 and 45,503

Step by Step Solution

1. Step 1: Write the proportion equation
   33,505 : 45,503 = 45,503 : x
2. Step 2: Convert to fraction form
   33,505/45,503 = 45,503/x
3. Step 3: Cross multiply
   33,505x = 45,503 × 45,503
4. Step 4: Simplify right side
   33,505x = 2,070,523,009
5. Step 5: Solve for x
   x = 2,070,523,009/33,505
6. Step 6: Final answer
   x = 61,797.43