Finding the Third Proportional to 26,838 and 62,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,838 : 62,383.50 = 62,383.50 : x
2. Step 2: Convert to fraction form
   26,838/62,383.50 = 62,383.50/x
3. Step 3: Cross multiply
   26,838x = 62,383.50 × 62,383.50
4. Step 4: Simplify right side
   26,838x = 3,891,701,072.25
5. Step 5: Solve for x
   x = 3,891,701,072.25/26,838
6. Step 6: Final answer
   x = 145,007.12