Finding the Third Proportional to 13,640 and 19,300

Step by Step Solution

1. Step 1: Write the proportion equation
   13,640 : 19,300 = 19,300 : x
2. Step 2: Convert to fraction form
   13,640/19,300 = 19,300/x
3. Step 3: Cross multiply
   13,640x = 19,300 × 19,300
4. Step 4: Simplify right side
   13,640x = 372,490,000
5. Step 5: Solve for x
   x = 372,490,000/13,640
6. Step 6: Final answer
   x = 27,308.65