Finding the Third Proportional to 42.63 and 56.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.63 : 56.63 = 56.63 : x
2. Step 2: Convert to fraction form
   42.63/56.63 = 56.63/x
3. Step 3: Cross multiply
   42.63x = 56.63 × 56.63
4. Step 4: Simplify right side
   42.63x = 3,206.39
5. Step 5: Solve for x
   x = 3,206.39/42.63
6. Step 6: Final answer
   x = 75.22