Finding the Third Proportional to 5,507,194 and 7,741,642

Step by Step Solution

1. Step 1: Write the proportion equation
   5,507,194 : 7,741,642 = 7,741,642 : x
2. Step 2: Convert to fraction form
   5,507,194/7,741,642 = 7,741,642/x
3. Step 3: Cross multiply
   5,507,194x = 7,741,642 × 7,741,642
4. Step 4: Simplify right side
   5,507,194x = 59,933,020,856,164
5. Step 5: Solve for x
   x = 59,933,020,856,164/5,507,194
6. Step 6: Final answer
   x = 10,882,678.34