Finding the Third Proportional to 42.61 and 92.81

Step by Step Solution

1. Step 1: Write the proportion equation
   42.61 : 92.81 = 92.81 : x
2. Step 2: Convert to fraction form
   42.61/92.81 = 92.81/x
3. Step 3: Cross multiply
   42.61x = 92.81 × 92.81
4. Step 4: Simplify right side
   42.61x = 8,614.16
5. Step 5: Solve for x
   x = 8,614.16/42.61
6. Step 6: Final answer
   x = 202.17