Finding the Third Proportional to 5,634.56 and 8,770.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634.56 : 8,770.78 = 8,770.78 : x
2. Step 2: Convert to fraction form
   5,634.56/8,770.78 = 8,770.78/x
3. Step 3: Cross multiply
   5,634.56x = 8,770.78 × 8,770.78
4. Step 4: Simplify right side
   5,634.56x = 76,926,603.74
5. Step 5: Solve for x
   x = 76,926,603.74/5,634.56
6. Step 6: Final answer
   x = 13,652.63