Finding the Third Proportional to 30,782 and 45,970

Step by Step Solution

1. Step 1: Write the proportion equation
   30,782 : 45,970 = 45,970 : x
2. Step 2: Convert to fraction form
   30,782/45,970 = 45,970/x
3. Step 3: Cross multiply
   30,782x = 45,970 × 45,970
4. Step 4: Simplify right side
   30,782x = 2,113,240,900
5. Step 5: Solve for x
   x = 2,113,240,900/30,782
6. Step 6: Final answer
   x = 68,651.84