Finding the Third Proportional to 2,141,829 and 4,656,906

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141,829 : 4,656,906 = 4,656,906 : x
2. Step 2: Convert to fraction form
   2,141,829/4,656,906 = 4,656,906/x
3. Step 3: Cross multiply
   2,141,829x = 4,656,906 × 4,656,906
4. Step 4: Simplify right side
   2,141,829x = 21,686,773,492,836
5. Step 5: Solve for x
   x = 21,686,773,492,836/2,141,829
6. Step 6: Final answer
   x = 10,125,352.44