Finding the Third Proportional to 42.38 and 92.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 92.63 = 92.63 : x
2. Step 2: Convert to fraction form
   42.38/92.63 = 92.63/x
3. Step 3: Cross multiply
   42.38x = 92.63 × 92.63
4. Step 4: Simplify right side
   42.38x = 8,579.39
5. Step 5: Solve for x
   x = 8,579.39/42.38
6. Step 6: Final answer
   x = 202.46