Finding the Third Proportional to 5,780.53 and 12,697.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780.53 : 12,697.59 = 12,697.59 : x
2. Step 2: Convert to fraction form
   5,780.53/12,697.59 = 12,697.59/x
3. Step 3: Cross multiply
   5,780.53x = 12,697.59 × 12,697.59
4. Step 4: Simplify right side
   5,780.53x = 161,228,887.04
5. Step 5: Solve for x
   x = 161,228,887.04/5,780.53
6. Step 6: Final answer
   x = 27,891.71