Finding the Third Proportional to 32,401 and 52,907

Step by Step Solution

1. Step 1: Write the proportion equation
   32,401 : 52,907 = 52,907 : x
2. Step 2: Convert to fraction form
   32,401/52,907 = 52,907/x
3. Step 3: Cross multiply
   32,401x = 52,907 × 52,907
4. Step 4: Simplify right side
   32,401x = 2,799,150,649
5. Step 5: Solve for x
   x = 2,799,150,649/32,401
6. Step 6: Final answer
   x = 86,390.87