Finding the Third Proportional to 26,838 and 53,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,838 : 53,014.50 = 53,014.50 : x
2. Step 2: Convert to fraction form
   26,838/53,014.50 = 53,014.50/x
3. Step 3: Cross multiply
   26,838x = 53,014.50 × 53,014.50
4. Step 4: Simplify right side
   26,838x = 2,810,537,210.25
5. Step 5: Solve for x
   x = 2,810,537,210.25/26,838
6. Step 6: Final answer
   x = 104,722.30