Finding the Third Proportional to 34.50 and 71.88

Step by Step Solution

1. Step 1: Write the proportion equation
   34.50 : 71.88 = 71.88 : x
2. Step 2: Convert to fraction form
   34.50/71.88 = 71.88/x
3. Step 3: Cross multiply
   34.50x = 71.88 × 71.88
4. Step 4: Simplify right side
   34.50x = 5,166.02
5. Step 5: Solve for x
   x = 5,166.02/34.50
6. Step 6: Final answer
   x = 149.74