Finding the Third Proportional to 26,824 and 57,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,824 : 57,112.50 = 57,112.50 : x
2. Step 2: Convert to fraction form
   26,824/57,112.50 = 57,112.50/x
3. Step 3: Cross multiply
   26,824x = 57,112.50 × 57,112.50
4. Step 4: Simplify right side
   26,824x = 3,261,837,656.25
5. Step 5: Solve for x
   x = 3,261,837,656.25/26,824
6. Step 6: Final answer
   x = 121,601.46