Finding the Third Proportional to 34,463 and 54,665

Step by Step Solution

1. Step 1: Write the proportion equation
   34,463 : 54,665 = 54,665 : x
2. Step 2: Convert to fraction form
   34,463/54,665 = 54,665/x
3. Step 3: Cross multiply
   34,463x = 54,665 × 54,665
4. Step 4: Simplify right side
   34,463x = 2,988,262,225
5. Step 5: Solve for x
   x = 2,988,262,225/34,463
6. Step 6: Final answer
   x = 86,709.29