Finding the Third Proportional to 9,836 and 13,260

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 13,260 = 13,260 : x
2. Step 2: Convert to fraction form
   9,836/13,260 = 13,260/x
3. Step 3: Cross multiply
   9,836x = 13,260 × 13,260
4. Step 4: Simplify right side
   9,836x = 175,827,600
5. Step 5: Solve for x
   x = 175,827,600/9,836
6. Step 6: Final answer
   x = 17,875.93