Finding the Third Proportional to 38,826 and 58,179

Step by Step Solution

1. Step 1: Write the proportion equation
   38,826 : 58,179 = 58,179 : x
2. Step 2: Convert to fraction form
   38,826/58,179 = 58,179/x
3. Step 3: Cross multiply
   38,826x = 58,179 × 58,179
4. Step 4: Simplify right side
   38,826x = 3,384,796,041
5. Step 5: Solve for x
   x = 3,384,796,041/38,826
6. Step 6: Final answer
   x = 87,178.59