Finding the Third Proportional to 42.64 and 92.71

Step by Step Solution

1. Step 1: Write the proportion equation
   42.64 : 92.71 = 92.71 : x
2. Step 2: Convert to fraction form
   42.64/92.71 = 92.71/x
3. Step 3: Cross multiply
   42.64x = 92.71 × 92.71
4. Step 4: Simplify right side
   42.64x = 8,594.59
5. Step 5: Solve for x
   x = 8,594.59/42.64
6. Step 6: Final answer
   x = 201.58