Finding the Third Proportional to 5,454.84 and 9,770.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,454.84 : 9,770.63 = 9,770.63 : x
2. Step 2: Convert to fraction form
   5,454.84/9,770.63 = 9,770.63/x
3. Step 3: Cross multiply
   5,454.84x = 9,770.63 × 9,770.63
4. Step 4: Simplify right side
   5,454.84x = 95,465,112.89
5. Step 5: Solve for x
   x = 95,465,112.89/5,454.84
6. Step 6: Final answer
   x = 17,500.98