Finding the Third Proportional to 45,826 and 96,570

Step by Step Solution

1. Step 1: Write the proportion equation
   45,826 : 96,570 = 96,570 : x
2. Step 2: Convert to fraction form
   45,826/96,570 = 96,570/x
3. Step 3: Cross multiply
   45,826x = 96,570 × 96,570
4. Step 4: Simplify right side
   45,826x = 9,325,764,900
5. Step 5: Solve for x
   x = 9,325,764,900/45,826
6. Step 6: Final answer
   x = 203,503.79