Finding the Third Proportional to 1,721,819,401,644 and 3,699,162,345,126

Step by Step Solution

1. Step 1: Write the proportion equation
   1,721,819,401,644 : 3,699,162,345,126 = 3,699,162,345,126 : x
2. Step 2: Convert to fraction form
   1,721,819,401,644/3,699,162,345,126 = 3,699,162,345,126/x
3. Step 3: Cross multiply
   1,721,819,401,644x = 3,699,162,345,126 × 3,699,162,345,126
4. Step 4: Simplify right side
   1,721,819,401,644x = 13,683,802,055,598,087,352,614,912
5. Step 5: Solve for x
   x = 13,683,802,055,598,087,352,614,912/1,721,819,401,644
6. Step 6: Final answer
   x = 7,947,292,290,081.49