Finding the Third Proportional to 9,376 and 13,488

Step by Step Solution

1. Step 1: Write the proportion equation
   9,376 : 13,488 = 13,488 : x
2. Step 2: Convert to fraction form
   9,376/13,488 = 13,488/x
3. Step 3: Cross multiply
   9,376x = 13,488 × 13,488
4. Step 4: Simplify right side
   9,376x = 181,926,144
5. Step 5: Solve for x
   x = 181,926,144/9,376
6. Step 6: Final answer
   x = 19,403.39