Finding the Third Proportional to 6,178.50 and 12,789

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.50 : 12,789 = 12,789 : x
2. Step 2: Convert to fraction form
   6,178.50/12,789 = 12,789/x
3. Step 3: Cross multiply
   6,178.50x = 12,789 × 12,789
4. Step 4: Simplify right side
   6,178.50x = 163,558,521
5. Step 5: Solve for x
   x = 163,558,521/6,178.50
6. Step 6: Final answer
   x = 26,472.21