Finding the Third Proportional to 6,680 and 12,536

Step by Step Solution

1. Step 1: Write the proportion equation
   6,680 : 12,536 = 12,536 : x
2. Step 2: Convert to fraction form
   6,680/12,536 = 12,536/x
3. Step 3: Cross multiply
   6,680x = 12,536 × 12,536
4. Step 4: Simplify right side
   6,680x = 157,151,296
5. Step 5: Solve for x
   x = 157,151,296/6,680
6. Step 6: Final answer
   x = 23,525.64