Finding the Third Proportional to 26,742 and 57,064

Step by Step Solution

1. Step 1: Write the proportion equation
   26,742 : 57,064 = 57,064 : x
2. Step 2: Convert to fraction form
   26,742/57,064 = 57,064/x
3. Step 3: Cross multiply
   26,742x = 57,064 × 57,064
4. Step 4: Simplify right side
   26,742x = 3,256,300,096
5. Step 5: Solve for x
   x = 3,256,300,096/26,742
6. Step 6: Final answer
   x = 121,767.26