Finding the Third Proportional to 23.07 and 42.80

Step by Step Solution

1. Step 1: Write the proportion equation
   23.07 : 42.80 = 42.80 : x
2. Step 2: Convert to fraction form
   23.07/42.80 = 42.80/x
3. Step 3: Cross multiply
   23.07x = 42.80 × 42.80
4. Step 4: Simplify right side
   23.07x = 1,832.19
5. Step 5: Solve for x
   x = 1,832.19/23.07
6. Step 6: Final answer
   x = 79.43