Finding the Third Proportional to 37,859.20 and 79,642.41

Step by Step Solution

1. Step 1: Write the proportion equation
   37,859.20 : 79,642.41 = 79,642.41 : x
2. Step 2: Convert to fraction form
   37,859.20/79,642.41 = 79,642.41/x
3. Step 3: Cross multiply
   37,859.20x = 79,642.41 × 79,642.41
4. Step 4: Simplify right side
   37,859.20x = 6,342,912,873.29
5. Step 5: Solve for x
   x = 6,342,912,873.29/37,859.20
6. Step 6: Final answer
   x = 167,539.52