Finding the Third Proportional to 33.88 and 69.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33.88 : 69.50 = 69.50 : x
2. Step 2: Convert to fraction form
   33.88/69.50 = 69.50/x
3. Step 3: Cross multiply
   33.88x = 69.50 × 69.50
4. Step 4: Simplify right side
   33.88x = 4,830.25
5. Step 5: Solve for x
   x = 4,830.25/33.88
6. Step 6: Final answer
   x = 142.59