Finding the Third Proportional to 17,846 and 27,633

Step by Step Solution

1. Step 1: Write the proportion equation
   17,846 : 27,633 = 27,633 : x
2. Step 2: Convert to fraction form
   17,846/27,633 = 27,633/x
3. Step 3: Cross multiply
   17,846x = 27,633 × 27,633
4. Step 4: Simplify right side
   17,846x = 763,582,689
5. Step 5: Solve for x
   x = 763,582,689/17,846
6. Step 6: Final answer
   x = 42,787.33