Finding the Third Proportional to 26,492 and 62,546

Step by Step Solution

1. Step 1: Write the proportion equation
   26,492 : 62,546 = 62,546 : x
2. Step 2: Convert to fraction form
   26,492/62,546 = 62,546/x
3. Step 3: Cross multiply
   26,492x = 62,546 × 62,546
4. Step 4: Simplify right side
   26,492x = 3,912,002,116
5. Step 5: Solve for x
   x = 3,912,002,116/26,492
6. Step 6: Final answer
   x = 147,667.30