Finding the Third Proportional to 33,827 and 45,633

Step by Step Solution

1. Step 1: Write the proportion equation
   33,827 : 45,633 = 45,633 : x
2. Step 2: Convert to fraction form
   33,827/45,633 = 45,633/x
3. Step 3: Cross multiply
   33,827x = 45,633 × 45,633
4. Step 4: Simplify right side
   33,827x = 2,082,370,689
5. Step 5: Solve for x
   x = 2,082,370,689/33,827
6. Step 6: Final answer
   x = 61,559.43