Finding the Third Proportional to 38,022,596 and 82,105,768

Step by Step Solution

1. Step 1: Write the proportion equation
   38,022,596 : 82,105,768 = 82,105,768 : x
2. Step 2: Convert to fraction form
   38,022,596/82,105,768 = 82,105,768/x
3. Step 3: Cross multiply
   38,022,596x = 82,105,768 × 82,105,768
4. Step 4: Simplify right side
   38,022,596x = 6,741,357,138,869,824
5. Step 5: Solve for x
   x = 6,741,357,138,869,824/38,022,596
6. Step 6: Final answer
   x = 177,298,707.82