Finding the Third Proportional to 5,613.75 and 8,780.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,613.75 : 8,780.63 = 8,780.63 : x
2. Step 2: Convert to fraction form
   5,613.75/8,780.63 = 8,780.63/x
3. Step 3: Cross multiply
   5,613.75x = 8,780.63 × 8,780.63
4. Step 4: Simplify right side
   5,613.75x = 77,099,375.39
5. Step 5: Solve for x
   x = 77,099,375.39/5,613.75
6. Step 6: Final answer
   x = 13,734.02