Finding the Third Proportional to 6,977,077,128 and 10,724,267,766

Step by Step Solution

1. Step 1: Write the proportion equation
   6,977,077,128 : 10,724,267,766 = 10,724,267,766 : x
2. Step 2: Convert to fraction form
   6,977,077,128/10,724,267,766 = 10,724,267,766/x
3. Step 3: Cross multiply
   6,977,077,128x = 10,724,267,766 × 10,724,267,766
4. Step 4: Simplify right side
   6,977,077,128x = 115,009,919,116,866,633,728
5. Step 5: Solve for x
   x = 115,009,919,116,866,633,728/6,977,077,128
6. Step 6: Final answer
   x = 16,483,968,430.75