Finding the Third Proportional to 6,180.84 and 8,835.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,180.84 : 8,835.57 = 8,835.57 : x
2. Step 2: Convert to fraction form
   6,180.84/8,835.57 = 8,835.57/x
3. Step 3: Cross multiply
   6,180.84x = 8,835.57 × 8,835.57
4. Step 4: Simplify right side
   6,180.84x = 78,067,216.46
5. Step 5: Solve for x
   x = 78,067,216.46/6,180.84
6. Step 6: Final answer
   x = 12,630.52