Finding the Third Proportional to 14,482 and 31,780

Step by Step Solution

1. Step 1: Write the proportion equation
   14,482 : 31,780 = 31,780 : x
2. Step 2: Convert to fraction form
   14,482/31,780 = 31,780/x
3. Step 3: Cross multiply
   14,482x = 31,780 × 31,780
4. Step 4: Simplify right side
   14,482x = 1,009,968,400
5. Step 5: Solve for x
   x = 1,009,968,400/14,482
6. Step 6: Final answer
   x = 69,739.57