Finding the Third Proportional to 62.72 and 102.80

Step by Step Solution

1. Step 1: Write the proportion equation
   62.72 : 102.80 = 102.80 : x
2. Step 2: Convert to fraction form
   62.72/102.80 = 102.80/x
3. Step 3: Cross multiply
   62.72x = 102.80 × 102.80
4. Step 4: Simplify right side
   62.72x = 10,567.20
5. Step 5: Solve for x
   x = 10,567.20/62.72
6. Step 6: Final answer
   x = 168.49