Finding the Third Proportional to 38.50 and 69.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 69.88 = 69.88 : x
2. Step 2: Convert to fraction form
   38.50/69.88 = 69.88/x
3. Step 3: Cross multiply
   38.50x = 69.88 × 69.88
4. Step 4: Simplify right side
   38.50x = 4,882.52
5. Step 5: Solve for x
   x = 4,882.52/38.50
6. Step 6: Final answer
   x = 126.82