Finding the Third Proportional to 42,091 and 90,742

Step by Step Solution

1. Step 1: Write the proportion equation
   42,091 : 90,742 = 90,742 : x
2. Step 2: Convert to fraction form
   42,091/90,742 = 90,742/x
3. Step 3: Cross multiply
   42,091x = 90,742 × 90,742
4. Step 4: Simplify right side
   42,091x = 8,234,110,564
5. Step 5: Solve for x
   x = 8,234,110,564/42,091
6. Step 6: Final answer
   x = 195,626.39