Finding the Third Proportional to 69.38 and 105.63

Step by Step Solution

1. Step 1: Write the proportion equation
   69.38 : 105.63 = 105.63 : x
2. Step 2: Convert to fraction form
   69.38/105.63 = 105.63/x
3. Step 3: Cross multiply
   69.38x = 105.63 × 105.63
4. Step 4: Simplify right side
   69.38x = 11,156.64
5. Step 5: Solve for x
   x = 11,156.64/69.38
6. Step 6: Final answer
   x = 160.82