Finding the Third Proportional to 17,828 and 27,632

Step by Step Solution

1. Step 1: Write the proportion equation
   17,828 : 27,632 = 27,632 : x
2. Step 2: Convert to fraction form
   17,828/27,632 = 27,632/x
3. Step 3: Cross multiply
   17,828x = 27,632 × 27,632
4. Step 4: Simplify right side
   17,828x = 763,527,424
5. Step 5: Solve for x
   x = 763,527,424/17,828
6. Step 6: Final answer
   x = 42,827.43