Finding the Third Proportional to 10,148 and 13,478

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148 : 13,478 = 13,478 : x
2. Step 2: Convert to fraction form
   10,148/13,478 = 13,478/x
3. Step 3: Cross multiply
   10,148x = 13,478 × 13,478
4. Step 4: Simplify right side
   10,148x = 181,656,484
5. Step 5: Solve for x
   x = 181,656,484/10,148
6. Step 6: Final answer
   x = 17,900.72