Finding the Third Proportional to 13,184 and 14,300

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184 : 14,300 = 14,300 : x
2. Step 2: Convert to fraction form
   13,184/14,300 = 14,300/x
3. Step 3: Cross multiply
   13,184x = 14,300 × 14,300
4. Step 4: Simplify right side
   13,184x = 204,490,000
5. Step 5: Solve for x
   x = 204,490,000/13,184
6. Step 6: Final answer
   x = 15,510.47