Finding the Third Proportional to 35,619 and 56,401

Step by Step Solution

1. Step 1: Write the proportion equation
   35,619 : 56,401 = 56,401 : x
2. Step 2: Convert to fraction form
   35,619/56,401 = 56,401/x
3. Step 3: Cross multiply
   35,619x = 56,401 × 56,401
4. Step 4: Simplify right side
   35,619x = 3,181,072,801
5. Step 5: Solve for x
   x = 3,181,072,801/35,619
6. Step 6: Final answer
   x = 89,308.31