Finding the Third Proportional to 64.92 and 102.77

Step by Step Solution

1. Step 1: Write the proportion equation
   64.92 : 102.77 = 102.77 : x
2. Step 2: Convert to fraction form
   64.92/102.77 = 102.77/x
3. Step 3: Cross multiply
   64.92x = 102.77 × 102.77
4. Step 4: Simplify right side
   64.92x = 10,562.38
5. Step 5: Solve for x
   x = 10,562.38/64.92
6. Step 6: Final answer
   x = 162.69