Finding the Third Proportional to 2,532 and 6,870

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532 : 6,870 = 6,870 : x
2. Step 2: Convert to fraction form
   2,532/6,870 = 6,870/x
3. Step 3: Cross multiply
   2,532x = 6,870 × 6,870
4. Step 4: Simplify right side
   2,532x = 47,196,900
5. Step 5: Solve for x
   x = 47,196,900/2,532
6. Step 6: Final answer
   x = 18,640.17