Finding the Third Proportional to 5,776 and 10,148

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776 : 10,148 = 10,148 : x
2. Step 2: Convert to fraction form
   5,776/10,148 = 10,148/x
3. Step 3: Cross multiply
   5,776x = 10,148 × 10,148
4. Step 4: Simplify right side
   5,776x = 102,981,904
5. Step 5: Solve for x
   x = 102,981,904/5,776
6. Step 6: Final answer
   x = 17,829.28