Finding the Third Proportional to 36,796 and 58,290

Step by Step Solution

1. Step 1: Write the proportion equation
   36,796 : 58,290 = 58,290 : x
2. Step 2: Convert to fraction form
   36,796/58,290 = 58,290/x
3. Step 3: Cross multiply
   36,796x = 58,290 × 58,290
4. Step 4: Simplify right side
   36,796x = 3,397,724,100
5. Step 5: Solve for x
   x = 3,397,724,100/36,796
6. Step 6: Final answer
   x = 92,339.50