Finding the Third Proportional to 6,688 and 14,648

Step by Step Solution

1. Step 1: Write the proportion equation
   6,688 : 14,648 = 14,648 : x
2. Step 2: Convert to fraction form
   6,688/14,648 = 14,648/x
3. Step 3: Cross multiply
   6,688x = 14,648 × 14,648
4. Step 4: Simplify right side
   6,688x = 214,563,904
5. Step 5: Solve for x
   x = 214,563,904/6,688
6. Step 6: Final answer
   x = 32,081.92