Finding the Third Proportional to 10,522 and 17,535

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 17,535 = 17,535 : x
2. Step 2: Convert to fraction form
   10,522/17,535 = 17,535/x
3. Step 3: Cross multiply
   10,522x = 17,535 × 17,535
4. Step 4: Simplify right side
   10,522x = 307,476,225
5. Step 5: Solve for x
   x = 307,476,225/10,522
6. Step 6: Final answer
   x = 29,222.22