Finding the Third Proportional to 8,162,699,390,640 and 17,536,769,647,200

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162,699,390,640 : 17,536,769,647,200 = 17,536,769,647,200 : x
2. Step 2: Convert to fraction form
   8,162,699,390,640/17,536,769,647,200 = 17,536,769,647,200/x
3. Step 3: Cross multiply
   8,162,699,390,640x = 17,536,769,647,200 × 17,536,769,647,200
4. Step 4: Simplify right side
   8,162,699,390,640x = 307,538,289,658,955,228,956,852,224
5. Step 5: Solve for x
   x = 307,538,289,658,955,228,956,852,224/8,162,699,390,640
6. Step 6: Final answer
   x = 37,676,052,362,237.31