Finding the Third Proportional to 10,524 and 17,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 17,658 = 17,658 : x
2. Step 2: Convert to fraction form
   10,524/17,658 = 17,658/x
3. Step 3: Cross multiply
   10,524x = 17,658 × 17,658
4. Step 4: Simplify right side
   10,524x = 311,804,964
5. Step 5: Solve for x
   x = 311,804,964/10,524
6. Step 6: Final answer
   x = 29,627.99