Finding the Third Proportional to 2,365,414 and 3,706,368

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365,414 : 3,706,368 = 3,706,368 : x
2. Step 2: Convert to fraction form
   2,365,414/3,706,368 = 3,706,368/x
3. Step 3: Cross multiply
   2,365,414x = 3,706,368 × 3,706,368
4. Step 4: Simplify right side
   2,365,414x = 13,737,163,751,424
5. Step 5: Solve for x
   x = 13,737,163,751,424/2,365,414
6. Step 6: Final answer
   x = 5,807,509.28