Finding the Third Proportional to 10,388 and 17,438

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388 : 17,438 = 17,438 : x
2. Step 2: Convert to fraction form
   10,388/17,438 = 17,438/x
3. Step 3: Cross multiply
   10,388x = 17,438 × 17,438
4. Step 4: Simplify right side
   10,388x = 304,083,844
5. Step 5: Solve for x
   x = 304,083,844/10,388
6. Step 6: Final answer
   x = 29,272.61