Finding the Third Proportional to 33,825 and 45,630

Step by Step Solution

1. Step 1: Write the proportion equation
   33,825 : 45,630 = 45,630 : x
2. Step 2: Convert to fraction form
   33,825/45,630 = 45,630/x
3. Step 3: Cross multiply
   33,825x = 45,630 × 45,630
4. Step 4: Simplify right side
   33,825x = 2,082,096,900
5. Step 5: Solve for x
   x = 2,082,096,900/33,825
6. Step 6: Final answer
   x = 61,554.97