Finding the Third Proportional to 66.84 and 132.56

Step by Step Solution

1. Step 1: Write the proportion equation
   66.84 : 132.56 = 132.56 : x
2. Step 2: Convert to fraction form
   66.84/132.56 = 132.56/x
3. Step 3: Cross multiply
   66.84x = 132.56 × 132.56
4. Step 4: Simplify right side
   66.84x = 17,572.82
5. Step 5: Solve for x
   x = 17,572.82/66.84
6. Step 6: Final answer
   x = 262.89