Finding the Third Proportional to 33.61 and 71.58

Step by Step Solution

1. Step 1: Write the proportion equation
   33.61 : 71.58 = 71.58 : x
2. Step 2: Convert to fraction form
   33.61/71.58 = 71.58/x
3. Step 3: Cross multiply
   33.61x = 71.58 × 71.58
4. Step 4: Simplify right side
   33.61x = 5,123.43
5. Step 5: Solve for x
   x = 5,123.43/33.61
6. Step 6: Final answer
   x = 152.44