Finding the Third Proportional to 6,382 and 13,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,382 : 13,791.50 = 13,791.50 : x
2. Step 2: Convert to fraction form
   6,382/13,791.50 = 13,791.50/x
3. Step 3: Cross multiply
   6,382x = 13,791.50 × 13,791.50
4. Step 4: Simplify right side
   6,382x = 190,205,472.25
5. Step 5: Solve for x
   x = 190,205,472.25/6,382
6. Step 6: Final answer
   x = 29,803.43