Finding the Third Proportional to 8,162,699,390,638 and 17,536,769,647,196

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162,699,390,638 : 17,536,769,647,196 = 17,536,769,647,196 : x
2. Step 2: Convert to fraction form
   8,162,699,390,638/17,536,769,647,196 = 17,536,769,647,196/x
3. Step 3: Cross multiply
   8,162,699,390,638x = 17,536,769,647,196 × 17,536,769,647,196
4. Step 4: Simplify right side
   8,162,699,390,638x = 307,538,289,658,814,903,785,357,312
5. Step 5: Solve for x
   x = 307,538,289,658,814,903,785,357,312/8,162,699,390,638
6. Step 6: Final answer
   x = 37,676,052,362,229.35