Finding the Third Proportional to 30,389 and 45,782

Step by Step Solution

1. Step 1: Write the proportion equation
   30,389 : 45,782 = 45,782 : x
2. Step 2: Convert to fraction form
   30,389/45,782 = 45,782/x
3. Step 3: Cross multiply
   30,389x = 45,782 × 45,782
4. Step 4: Simplify right side
   30,389x = 2,095,991,524
5. Step 5: Solve for x
   x = 2,095,991,524/30,389
6. Step 6: Final answer
   x = 68,972.05