Finding the Third Proportional to 7,775 and 10,111

Step by Step Solution

1. Step 1: Write the proportion equation
   7,775 : 10,111 = 10,111 : x
2. Step 2: Convert to fraction form
   7,775/10,111 = 10,111/x
3. Step 3: Cross multiply
   7,775x = 10,111 × 10,111
4. Step 4: Simplify right side
   7,775x = 102,232,321
5. Step 5: Solve for x
   x = 102,232,321/7,775
6. Step 6: Final answer
   x = 13,148.85