Finding the Third Proportional to 26,528 and 57,116

Step by Step Solution

1. Step 1: Write the proportion equation
   26,528 : 57,116 = 57,116 : x
2. Step 2: Convert to fraction form
   26,528/57,116 = 57,116/x
3. Step 3: Cross multiply
   26,528x = 57,116 × 57,116
4. Step 4: Simplify right side
   26,528x = 3,262,237,456
5. Step 5: Solve for x
   x = 3,262,237,456/26,528
6. Step 6: Final answer
   x = 122,973.37