Finding the Third Proportional to 29,401 and 45,647

Step by Step Solution

1. Step 1: Write the proportion equation
   29,401 : 45,647 = 45,647 : x
2. Step 2: Convert to fraction form
   29,401/45,647 = 45,647/x
3. Step 3: Cross multiply
   29,401x = 45,647 × 45,647
4. Step 4: Simplify right side
   29,401x = 2,083,648,609
5. Step 5: Solve for x
   x = 2,083,648,609/29,401
6. Step 6: Final answer
   x = 70,869.99