Finding the Third Proportional to 2,005,213 and 4,175,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,213 : 4,175,662 = 4,175,662 : x
2. Step 2: Convert to fraction form
   2,005,213/4,175,662 = 4,175,662/x
3. Step 3: Cross multiply
   2,005,213x = 4,175,662 × 4,175,662
4. Step 4: Simplify right side
   2,005,213x = 17,436,153,138,244
5. Step 5: Solve for x
   x = 17,436,153,138,244/2,005,213
6. Step 6: Final answer
   x = 8,695,411.98