Finding the Third Proportional to 8,398.69 and 13,829.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,398.69 : 13,829.06 = 13,829.06 : x
2. Step 2: Convert to fraction form
   8,398.69/13,829.06 = 13,829.06/x
3. Step 3: Cross multiply
   8,398.69x = 13,829.06 × 13,829.06
4. Step 4: Simplify right side
   8,398.69x = 191,242,969.63
5. Step 5: Solve for x
   x = 191,242,969.63/8,398.69
6. Step 6: Final answer
   x = 22,770.58