Finding the Third Proportional to 26,580 and 42,302

Step by Step Solution

1. Step 1: Write the proportion equation
   26,580 : 42,302 = 42,302 : x
2. Step 2: Convert to fraction form
   26,580/42,302 = 42,302/x
3. Step 3: Cross multiply
   26,580x = 42,302 × 42,302
4. Step 4: Simplify right side
   26,580x = 1,789,459,204
5. Step 5: Solve for x
   x = 1,789,459,204/26,580
6. Step 6: Final answer
   x = 67,323.52