Finding the Third Proportional to 23,664 and 51,522

Step by Step Solution

1. Step 1: Write the proportion equation
   23,664 : 51,522 = 51,522 : x
2. Step 2: Convert to fraction form
   23,664/51,522 = 51,522/x
3. Step 3: Cross multiply
   23,664x = 51,522 × 51,522
4. Step 4: Simplify right side
   23,664x = 2,654,516,484
5. Step 5: Solve for x
   x = 2,654,516,484/23,664
6. Step 6: Final answer
   x = 112,175.31