Finding the Third Proportional to 6,532 and 10,838

Step by Step Solution

1. Step 1: Write the proportion equation
   6,532 : 10,838 = 10,838 : x
2. Step 2: Convert to fraction form
   6,532/10,838 = 10,838/x
3. Step 3: Cross multiply
   6,532x = 10,838 × 10,838
4. Step 4: Simplify right side
   6,532x = 117,462,244
5. Step 5: Solve for x
   x = 117,462,244/6,532
6. Step 6: Final answer
   x = 17,982.58