Finding the Third Proportional to 7,730,140,253,196 and 16,817,462,405,005

Step by Step Solution

1. Step 1: Write the proportion equation
   7,730,140,253,196 : 16,817,462,405,005 = 16,817,462,405,005 : x
2. Step 2: Convert to fraction form
   7,730,140,253,196/16,817,462,405,005 = 16,817,462,405,005/x
3. Step 3: Cross multiply
   7,730,140,253,196x = 16,817,462,405,005 × 16,817,462,405,005
4. Step 4: Simplify right side
   7,730,140,253,196x = 282,827,041,743,756,568,890,966,016
5. Step 5: Solve for x
   x = 282,827,041,743,756,568,890,966,016/7,730,140,253,196
6. Step 6: Final answer
   x = 36,587,569,239,357.94