Finding the Third Proportional to 42.35 and 86.93

Step by Step Solution

1. Step 1: Write the proportion equation
   42.35 : 86.93 = 86.93 : x
2. Step 2: Convert to fraction form
   42.35/86.93 = 86.93/x
3. Step 3: Cross multiply
   42.35x = 86.93 × 86.93
4. Step 4: Simplify right side
   42.35x = 7,557.03
5. Step 5: Solve for x
   x = 7,557.03/42.35
6. Step 6: Final answer
   x = 178.44