Finding the Third Proportional to 5,383.97 and 8,561.95

Step by Step Solution

1. Step 1: Write the proportion equation
   5,383.97 : 8,561.95 = 8,561.95 : x
2. Step 2: Convert to fraction form
   5,383.97/8,561.95 = 8,561.95/x
3. Step 3: Cross multiply
   5,383.97x = 8,561.95 × 8,561.95
4. Step 4: Simplify right side
   5,383.97x = 73,307,041.31
5. Step 5: Solve for x
   x = 73,307,041.31/5,383.97
6. Step 6: Final answer
   x = 13,615.80