Finding the Third Proportional to 35,742 and 56,647

Step by Step Solution

1. Step 1: Write the proportion equation
   35,742 : 56,647 = 56,647 : x
2. Step 2: Convert to fraction form
   35,742/56,647 = 56,647/x
3. Step 3: Cross multiply
   35,742x = 56,647 × 56,647
4. Step 4: Simplify right side
   35,742x = 3,208,882,609
5. Step 5: Solve for x
   x = 3,208,882,609/35,742
6. Step 6: Final answer
   x = 89,779.04