Finding the Third Proportional to 10,864 and 17,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 17,840 = 17,840 : x
2. Step 2: Convert to fraction form
   10,864/17,840 = 17,840/x
3. Step 3: Cross multiply
   10,864x = 17,840 × 17,840
4. Step 4: Simplify right side
   10,864x = 318,265,600
5. Step 5: Solve for x
   x = 318,265,600/10,864
6. Step 6: Final answer
   x = 29,295.43