Finding the Third Proportional to 7,645,250,799,900 and 16,380,992,223,648

Step by Step Solution

1. Step 1: Write the proportion equation
   7,645,250,799,900 : 16,380,992,223,648 = 16,380,992,223,648 : x
2. Step 2: Convert to fraction form
   7,645,250,799,900/16,380,992,223,648 = 16,380,992,223,648/x
3. Step 3: Cross multiply
   7,645,250,799,900x = 16,380,992,223,648 × 16,380,992,223,648
4. Step 4: Simplify right side
   7,645,250,799,900x = 268,336,906,231,216,235,144,544,256
5. Step 5: Solve for x
   x = 268,336,906,231,216,235,144,544,256/7,645,250,799,900
6. Step 6: Final answer
   x = 35,098,509,290,856.24