Finding the Third Proportional to 5,177,964 and 7,766,946

Step by Step Solution

1. Step 1: Write the proportion equation
   5,177,964 : 7,766,946 = 7,766,946 : x
2. Step 2: Convert to fraction form
   5,177,964/7,766,946 = 7,766,946/x
3. Step 3: Cross multiply
   5,177,964x = 7,766,946 × 7,766,946
4. Step 4: Simplify right side
   5,177,964x = 60,325,450,166,916
5. Step 5: Solve for x
   x = 60,325,450,166,916/5,177,964
6. Step 6: Final answer
   x = 11,650,419