Finding the Third Proportional to 42.19 and 56.53

Step by Step Solution

1. Step 1: Write the proportion equation
   42.19 : 56.53 = 56.53 : x
2. Step 2: Convert to fraction form
   42.19/56.53 = 56.53/x
3. Step 3: Cross multiply
   42.19x = 56.53 × 56.53
4. Step 4: Simplify right side
   42.19x = 3,195.78
5. Step 5: Solve for x
   x = 3,195.78/42.19
6. Step 6: Final answer
   x = 75.75