Finding the Third Proportional to 42.61 and 92.39

Step by Step Solution

1. Step 1: Write the proportion equation
   42.61 : 92.39 = 92.39 : x
2. Step 2: Convert to fraction form
   42.61/92.39 = 92.39/x
3. Step 3: Cross multiply
   42.61x = 92.39 × 92.39
4. Step 4: Simplify right side
   42.61x = 8,536.03
5. Step 5: Solve for x
   x = 8,536.03/42.61
6. Step 6: Final answer
   x = 200.33