Finding the Third Proportional to 5,106,768 and 7,766,280

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106,768 : 7,766,280 = 7,766,280 : x
2. Step 2: Convert to fraction form
   5,106,768/7,766,280 = 7,766,280/x
3. Step 3: Cross multiply
   5,106,768x = 7,766,280 × 7,766,280
4. Step 4: Simplify right side
   5,106,768x = 60,315,105,038,400
5. Step 5: Solve for x
   x = 60,315,105,038,400/5,106,768
6. Step 6: Final answer
   x = 11,810,817.53