Finding the Third Proportional to 3,214,010 and 4,706,007

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214,010 : 4,706,007 = 4,706,007 : x
2. Step 2: Convert to fraction form
   3,214,010/4,706,007 = 4,706,007/x
3. Step 3: Cross multiply
   3,214,010x = 4,706,007 × 4,706,007
4. Step 4: Simplify right side
   3,214,010x = 22,146,501,884,049
5. Step 5: Solve for x
   x = 22,146,501,884,049/3,214,010
6. Step 6: Final answer
   x = 6,890,613.87