Finding the Third Proportional to 38,022,642 and 82,105,848

Step by Step Solution

1. Step 1: Write the proportion equation
   38,022,642 : 82,105,848 = 82,105,848 : x
2. Step 2: Convert to fraction form
   38,022,642/82,105,848 = 82,105,848/x
3. Step 3: Cross multiply
   38,022,642x = 82,105,848 × 82,105,848
4. Step 4: Simplify right side
   38,022,642x = 6,741,370,275,799,104
5. Step 5: Solve for x
   x = 6,741,370,275,799,104/38,022,642
6. Step 6: Final answer
   x = 177,298,838.83