Finding the Third Proportional to 2,270,580 and 3,784,142

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270,580 : 3,784,142 = 3,784,142 : x
2. Step 2: Convert to fraction form
   2,270,580/3,784,142 = 3,784,142/x
3. Step 3: Cross multiply
   2,270,580x = 3,784,142 × 3,784,142
4. Step 4: Simplify right side
   2,270,580x = 14,319,730,676,164
5. Step 5: Solve for x
   x = 14,319,730,676,164/2,270,580
6. Step 6: Final answer
   x = 6,306,640.01