Finding the Third Proportional to 2,102,154 and 4,596,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102,154 : 4,596,864 = 4,596,864 : x
2. Step 2: Convert to fraction form
   2,102,154/4,596,864 = 4,596,864/x
3. Step 3: Cross multiply
   2,102,154x = 4,596,864 × 4,596,864
4. Step 4: Simplify right side
   2,102,154x = 21,131,158,634,496
5. Step 5: Solve for x
   x = 21,131,158,634,496/2,102,154
6. Step 6: Final answer
   x = 10,052,145.86