Finding the Third Proportional to 26,314 and 56,380

Step by Step Solution

1. Step 1: Write the proportion equation
   26,314 : 56,380 = 56,380 : x
2. Step 2: Convert to fraction form
   26,314/56,380 = 56,380/x
3. Step 3: Cross multiply
   26,314x = 56,380 × 56,380
4. Step 4: Simplify right side
   26,314x = 3,178,704,400
5. Step 5: Solve for x
   x = 3,178,704,400/26,314
6. Step 6: Final answer
   x = 120,798.98