Finding the Third Proportional to 69.19 and 109.56

Step by Step Solution

1. Step 1: Write the proportion equation
   69.19 : 109.56 = 109.56 : x
2. Step 2: Convert to fraction form
   69.19/109.56 = 109.56/x
3. Step 3: Cross multiply
   69.19x = 109.56 × 109.56
4. Step 4: Simplify right side
   69.19x = 12,003.94
5. Step 5: Solve for x
   x = 12,003.94/69.19
6. Step 6: Final answer
   x = 173.50