Finding the Third Proportional to 6,205 and 13,792

Step by Step Solution

1. Step 1: Write the proportion equation
   6,205 : 13,792 = 13,792 : x
2. Step 2: Convert to fraction form
   6,205/13,792 = 13,792/x
3. Step 3: Cross multiply
   6,205x = 13,792 × 13,792
4. Step 4: Simplify right side
   6,205x = 190,219,264
5. Step 5: Solve for x
   x = 190,219,264/6,205
6. Step 6: Final answer
   x = 30,655.80