Finding the Third Proportional to 69.50 and 153.38

Step by Step Solution

1. Step 1: Write the proportion equation
   69.50 : 153.38 = 153.38 : x
2. Step 2: Convert to fraction form
   69.50/153.38 = 153.38/x
3. Step 3: Cross multiply
   69.50x = 153.38 × 153.38
4. Step 4: Simplify right side
   69.50x = 23,523.89
5. Step 5: Solve for x
   x = 23,523.89/69.50
6. Step 6: Final answer
   x = 338.47