Finding the Third Proportional to 15,632 and 17,408

Step by Step Solution

1. Step 1: Write the proportion equation
   15,632 : 17,408 = 17,408 : x
2. Step 2: Convert to fraction form
   15,632/17,408 = 17,408/x
3. Step 3: Cross multiply
   15,632x = 17,408 × 17,408
4. Step 4: Simplify right side
   15,632x = 303,038,464
5. Step 5: Solve for x
   x = 303,038,464/15,632
6. Step 6: Final answer
   x = 19,385.78