Finding the Third Proportional to 7,634 and 10,131

Step by Step Solution

1. Step 1: Write the proportion equation
   7,634 : 10,131 = 10,131 : x
2. Step 2: Convert to fraction form
   7,634/10,131 = 10,131/x
3. Step 3: Cross multiply
   7,634x = 10,131 × 10,131
4. Step 4: Simplify right side
   7,634x = 102,637,161
5. Step 5: Solve for x
   x = 102,637,161/7,634
6. Step 6: Final answer
   x = 13,444.74