Finding the Third Proportional to 13,788 and 15,300

Step by Step Solution

1. Step 1: Write the proportion equation
   13,788 : 15,300 = 15,300 : x
2. Step 2: Convert to fraction form
   13,788/15,300 = 15,300/x
3. Step 3: Cross multiply
   13,788x = 15,300 × 15,300
4. Step 4: Simplify right side
   13,788x = 234,090,000
5. Step 5: Solve for x
   x = 234,090,000/13,788
6. Step 6: Final answer
   x = 16,977.81