Finding the Third Proportional to 34.59 and 45.35

Step by Step Solution

1. Step 1: Write the proportion equation
   34.59 : 45.35 = 45.35 : x
2. Step 2: Convert to fraction form
   34.59/45.35 = 45.35/x
3. Step 3: Cross multiply
   34.59x = 45.35 × 45.35
4. Step 4: Simplify right side
   34.59x = 2,056.76
5. Step 5: Solve for x
   x = 2,056.76/34.59
6. Step 6: Final answer
   x = 59.45