Finding the Third Proportional to 1,737,825 and 3,784,596

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737,825 : 3,784,596 = 3,784,596 : x
2. Step 2: Convert to fraction form
   1,737,825/3,784,596 = 3,784,596/x
3. Step 3: Cross multiply
   1,737,825x = 3,784,596 × 3,784,596
4. Step 4: Simplify right side
   1,737,825x = 14,323,166,883,216
5. Step 5: Solve for x
   x = 14,323,166,883,216/1,737,825
6. Step 6: Final answer
   x = 8,242,007.61