Finding the Third Proportional to 2,969,126 and 6,505,714

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969,126 : 6,505,714 = 6,505,714 : x
2. Step 2: Convert to fraction form
   2,969,126/6,505,714 = 6,505,714/x
3. Step 3: Cross multiply
   2,969,126x = 6,505,714 × 6,505,714
4. Step 4: Simplify right side
   2,969,126x = 42,324,314,649,796
5. Step 5: Solve for x
   x = 42,324,314,649,796/2,969,126
6. Step 6: Final answer
   x = 14,254,805.84