Finding the Third Proportional to 42.25 and 58.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 58.63 = 58.63 : x
2. Step 2: Convert to fraction form
   42.25/58.63 = 58.63/x
3. Step 3: Cross multiply
   42.25x = 58.63 × 58.63
4. Step 4: Simplify right side
   42.25x = 3,436.89
5. Step 5: Solve for x
   x = 3,436.89/42.25
6. Step 6: Final answer
   x = 81.35