Finding the Third Proportional to 2,577,694 and 3,787,641

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577,694 : 3,787,641 = 3,787,641 : x
2. Step 2: Convert to fraction form
   2,577,694/3,787,641 = 3,787,641/x
3. Step 3: Cross multiply
   2,577,694x = 3,787,641 × 3,787,641
4. Step 4: Simplify right side
   2,577,694x = 14,346,224,344,881
5. Step 5: Solve for x
   x = 14,346,224,344,881/2,577,694
6. Step 6: Final answer
   x = 5,565,526.53