Finding the Third Proportional to 66.38 and 102.63

Step by Step Solution

1. Step 1: Write the proportion equation
   66.38 : 102.63 = 102.63 : x
2. Step 2: Convert to fraction form
   66.38/102.63 = 102.63/x
3. Step 3: Cross multiply
   66.38x = 102.63 × 102.63
4. Step 4: Simplify right side
   66.38x = 10,531.89
5. Step 5: Solve for x
   x = 10,531.89/66.38
6. Step 6: Final answer
   x = 158.67