Finding the Third Proportional to 16,408 and 35,984

Step by Step Solution

1. Step 1: Write the proportion equation
   16,408 : 35,984 = 35,984 : x
2. Step 2: Convert to fraction form
   16,408/35,984 = 35,984/x
3. Step 3: Cross multiply
   16,408x = 35,984 × 35,984
4. Step 4: Simplify right side
   16,408x = 1,294,848,256
5. Step 5: Solve for x
   x = 1,294,848,256/16,408
6. Step 6: Final answer
   x = 78,915.67