Finding the Third Proportional to 6,870 and 10,335

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870 : 10,335 = 10,335 : x
2. Step 2: Convert to fraction form
   6,870/10,335 = 10,335/x
3. Step 3: Cross multiply
   6,870x = 10,335 × 10,335
4. Step 4: Simplify right side
   6,870x = 106,812,225
5. Step 5: Solve for x
   x = 106,812,225/6,870
6. Step 6: Final answer
   x = 15,547.63