Finding the Third Proportional to 6,500 and 13,987

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 13,987 = 13,987 : x
2. Step 2: Convert to fraction form
   6,500/13,987 = 13,987/x
3. Step 3: Cross multiply
   6,500x = 13,987 × 13,987
4. Step 4: Simplify right side
   6,500x = 195,636,169
5. Step 5: Solve for x
   x = 195,636,169/6,500
6. Step 6: Final answer
   x = 30,097.87