Finding the Third Proportional to 2,101,980 and 4,596,567

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101,980 : 4,596,567 = 4,596,567 : x
2. Step 2: Convert to fraction form
   2,101,980/4,596,567 = 4,596,567/x
3. Step 3: Cross multiply
   2,101,980x = 4,596,567 × 4,596,567
4. Step 4: Simplify right side
   2,101,980x = 21,128,428,185,489
5. Step 5: Solve for x
   x = 21,128,428,185,489/2,101,980
6. Step 6: Final answer
   x = 10,051,678.98