Finding the Third Proportional to 7,567,198,017 and 17,680,389,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,567,198,017 : 17,680,389,697.50 = 17,680,389,697.50 : x
2. Step 2: Convert to fraction form
   7,567,198,017/17,680,389,697.50 = 17,680,389,697.50/x
3. Step 3: Cross multiply
   7,567,198,017x = 17,680,389,697.50 × 17,680,389,697.50
4. Step 4: Simplify right side
   7,567,198,017x = 312,596,179,855,464,136,704
5. Step 5: Solve for x
   x = 312,596,179,855,464,136,704/7,567,198,017
6. Step 6: Final answer
   x = 41,309,369,617.82