Finding the Third Proportional to 30,864 and 41,820

Step by Step Solution

1. Step 1: Write the proportion equation
   30,864 : 41,820 = 41,820 : x
2. Step 2: Convert to fraction form
   30,864/41,820 = 41,820/x
3. Step 3: Cross multiply
   30,864x = 41,820 × 41,820
4. Step 4: Simplify right side
   30,864x = 1,748,912,400
5. Step 5: Solve for x
   x = 1,748,912,400/30,864
6. Step 6: Final answer
   x = 56,665.12