Finding the Third Proportional to 35,740 and 56,644

Step by Step Solution

1. Step 1: Write the proportion equation
   35,740 : 56,644 = 56,644 : x
2. Step 2: Convert to fraction form
   35,740/56,644 = 56,644/x
3. Step 3: Cross multiply
   35,740x = 56,644 × 56,644
4. Step 4: Simplify right side
   35,740x = 3,208,542,736
5. Step 5: Solve for x
   x = 3,208,542,736/35,740
6. Step 6: Final answer
   x = 89,774.56