Finding the Third Proportional to 42,005 and 90,697

Step by Step Solution

1. Step 1: Write the proportion equation
   42,005 : 90,697 = 90,697 : x
2. Step 2: Convert to fraction form
   42,005/90,697 = 90,697/x
3. Step 3: Cross multiply
   42,005x = 90,697 × 90,697
4. Step 4: Simplify right side
   42,005x = 8,225,945,809
5. Step 5: Solve for x
   x = 8,225,945,809/42,005
6. Step 6: Final answer
   x = 195,832.54