Finding the Third Proportional to 6,601.34 and 14,678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,601.34 : 14,678.56 = 14,678.56 : x
2. Step 2: Convert to fraction form
   6,601.34/14,678.56 = 14,678.56/x
3. Step 3: Cross multiply
   6,601.34x = 14,678.56 × 14,678.56
4. Step 4: Simplify right side
   6,601.34x = 215,460,139.73
5. Step 5: Solve for x
   x = 215,460,139.73/6,601.34
6. Step 6: Final answer
   x = 32,638.84