Finding the Third Proportional to 33,877 and 45,258

Step by Step Solution

1. Step 1: Write the proportion equation
   33,877 : 45,258 = 45,258 : x
2. Step 2: Convert to fraction form
   33,877/45,258 = 45,258/x
3. Step 3: Cross multiply
   33,877x = 45,258 × 45,258
4. Step 4: Simplify right side
   33,877x = 2,048,286,564
5. Step 5: Solve for x
   x = 2,048,286,564/33,877
6. Step 6: Final answer
   x = 60,462.45