Finding the Third Proportional to 23,078 and 54,461

Step by Step Solution

1. Step 1: Write the proportion equation
   23,078 : 54,461 = 54,461 : x
2. Step 2: Convert to fraction form
   23,078/54,461 = 54,461/x
3. Step 3: Cross multiply
   23,078x = 54,461 × 54,461
4. Step 4: Simplify right side
   23,078x = 2,966,000,521
5. Step 5: Solve for x
   x = 2,966,000,521/23,078
6. Step 6: Final answer
   x = 128,520.69