Finding the Third Proportional to 11,840 and 19,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,840 : 19,380 = 19,380 : x
2. Step 2: Convert to fraction form
   11,840/19,380 = 19,380/x
3. Step 3: Cross multiply
   11,840x = 19,380 × 19,380
4. Step 4: Simplify right side
   11,840x = 375,584,400
5. Step 5: Solve for x
   x = 375,584,400/11,840
6. Step 6: Final answer
   x = 31,721.66