Finding the Third Proportional to 34 and 42.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34 : 42.50 = 42.50 : x
2. Step 2: Convert to fraction form
   34/42.50 = 42.50/x
3. Step 3: Cross multiply
   34x = 42.50 × 42.50
4. Step 4: Simplify right side
   34x = 1,806.25
5. Step 5: Solve for x
   x = 1,806.25/34
6. Step 6: Final answer
   x = 53.13