Finding the Third Proportional to 42,007 and 90,698

Step by Step Solution

1. Step 1: Write the proportion equation
   42,007 : 90,698 = 90,698 : x
2. Step 2: Convert to fraction form
   42,007/90,698 = 90,698/x
3. Step 3: Cross multiply
   42,007x = 90,698 × 90,698
4. Step 4: Simplify right side
   42,007x = 8,226,127,204
5. Step 5: Solve for x
   x = 8,226,127,204/42,007
6. Step 6: Final answer
   x = 195,827.53