Finding the Third Proportional to 26,214 and 55,380

Step by Step Solution

1. Step 1: Write the proportion equation
   26,214 : 55,380 = 55,380 : x
2. Step 2: Convert to fraction form
   26,214/55,380 = 55,380/x
3. Step 3: Cross multiply
   26,214x = 55,380 × 55,380
4. Step 4: Simplify right side
   26,214x = 3,066,944,400
5. Step 5: Solve for x
   x = 3,066,944,400/26,214
6. Step 6: Final answer
   x = 116,996.43