Finding the Third Proportional to 37,656,930,034 and 81,933,014,767

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656,930,034 : 81,933,014,767 = 81,933,014,767 : x
2. Step 2: Convert to fraction form
   37,656,930,034/81,933,014,767 = 81,933,014,767/x
3. Step 3: Cross multiply
   37,656,930,034x = 81,933,014,767 × 81,933,014,767
4. Step 4: Simplify right side
   37,656,930,034x = 6,713,018,908,809,440,002,048
5. Step 5: Solve for x
   x = 6,713,018,908,809,440,002,048/37,656,930,034
6. Step 6: Final answer
   x = 178,267,822,224.18