Finding the Third Proportional to 9,224,964,138 and 13,776,995,823

Step by Step Solution

1. Step 1: Write the proportion equation
   9,224,964,138 : 13,776,995,823 = 13,776,995,823 : x
2. Step 2: Convert to fraction form
   9,224,964,138/13,776,995,823 = 13,776,995,823/x
3. Step 3: Cross multiply
   9,224,964,138x = 13,776,995,823 × 13,776,995,823
4. Step 4: Simplify right side
   9,224,964,138x = 189,805,613,906,959,433,728
5. Step 5: Solve for x
   x = 189,805,613,906,959,433,728/9,224,964,138
6. Step 6: Final answer
   x = 20,575,214,284.58