Finding the Third Proportional to 26,264 and 56,738

Step by Step Solution

1. Step 1: Write the proportion equation
   26,264 : 56,738 = 56,738 : x
2. Step 2: Convert to fraction form
   26,264/56,738 = 56,738/x
3. Step 3: Cross multiply
   26,264x = 56,738 × 56,738
4. Step 4: Simplify right side
   26,264x = 3,219,200,644
5. Step 5: Solve for x
   x = 3,219,200,644/26,264
6. Step 6: Final answer
   x = 122,570.84