Finding the Third Proportional to 17.87 and 42.77

Step by Step Solution

1. Step 1: Write the proportion equation
   17.87 : 42.77 = 42.77 : x
2. Step 2: Convert to fraction form
   17.87/42.77 = 42.77/x
3. Step 3: Cross multiply
   17.87x = 42.77 × 42.77
4. Step 4: Simplify right side
   17.87x = 1,828.95
5. Step 5: Solve for x
   x = 1,828.95/17.87
6. Step 6: Final answer
   x = 102.36