Finding the Third Proportional to 9,788 and 13,111

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788 : 13,111 = 13,111 : x
2. Step 2: Convert to fraction form
   9,788/13,111 = 13,111/x
3. Step 3: Cross multiply
   9,788x = 13,111 × 13,111
4. Step 4: Simplify right side
   9,788x = 171,898,321
5. Step 5: Solve for x
   x = 171,898,321/9,788
6. Step 6: Final answer
   x = 17,562.15