Finding the Third Proportional to 9,507,234,287,414 and 20,593,155,993,823

Step by Step Solution

1. Step 1: Write the proportion equation
   9,507,234,287,414 : 20,593,155,993,823 = 20,593,155,993,823 : x
2. Step 2: Convert to fraction form
   9,507,234,287,414/20,593,155,993,823 = 20,593,155,993,823/x
3. Step 3: Cross multiply
   9,507,234,287,414x = 20,593,155,993,823 × 20,593,155,993,823
4. Step 4: Simplify right side
   9,507,234,287,414x = 424,078,073,785,928,131,746,463,744
5. Step 5: Solve for x
   x = 424,078,073,785,928,131,746,463,744/9,507,234,287,414
6. Step 6: Final answer
   x = 44,605,829,725,616.12