Finding the Third Proportional to 0.77 and 1.82

Step by Step Solution

1. Step 1: Write the proportion equation
   0.77 : 1.82 = 1.82 : x
2. Step 2: Convert to fraction form
   0.77/1.82 = 1.82/x
3. Step 3: Cross multiply
   0.77x = 1.82 × 1.82
4. Step 4: Simplify right side
   0.77x = 3.32
5. Step 5: Solve for x
   x = 3.32/0.77
6. Step 6: Final answer
   x = 4.29