Finding the Third Proportional to 10,522 and 17,537

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 17,537 = 17,537 : x
2. Step 2: Convert to fraction form
   10,522/17,537 = 17,537/x
3. Step 3: Cross multiply
   10,522x = 17,537 × 17,537
4. Step 4: Simplify right side
   10,522x = 307,546,369
5. Step 5: Solve for x
   x = 307,546,369/10,522
6. Step 6: Final answer
   x = 29,228.89