Finding the Third Proportional to 26,091 and 42,007

Step by Step Solution

1. Step 1: Write the proportion equation
   26,091 : 42,007 = 42,007 : x
2. Step 2: Convert to fraction form
   26,091/42,007 = 42,007/x
3. Step 3: Cross multiply
   26,091x = 42,007 × 42,007
4. Step 4: Simplify right side
   26,091x = 1,764,588,049
5. Step 5: Solve for x
   x = 1,764,588,049/26,091
6. Step 6: Final answer
   x = 67,632.06