Finding the Third Proportional to 33.63 and 69.88

Step by Step Solution

1. Step 1: Write the proportion equation
   33.63 : 69.88 = 69.88 : x
2. Step 2: Convert to fraction form
   33.63/69.88 = 69.88/x
3. Step 3: Cross multiply
   33.63x = 69.88 × 69.88
4. Step 4: Simplify right side
   33.63x = 4,882.52
5. Step 5: Solve for x
   x = 4,882.52/33.63
6. Step 6: Final answer
   x = 145.20