Finding the Third Proportional to 7,796,978,460 and 17,022,735,648

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796,978,460 : 17,022,735,648 = 17,022,735,648 : x
2. Step 2: Convert to fraction form
   7,796,978,460/17,022,735,648 = 17,022,735,648/x
3. Step 3: Cross multiply
   7,796,978,460x = 17,022,735,648 × 17,022,735,648
4. Step 4: Simplify right side
   7,796,978,460x = 289,773,528,941,689,995,264
5. Step 5: Solve for x
   x = 289,773,528,941,689,995,264/7,796,978,460
6. Step 6: Final answer
   x = 37,164,849,233.36