Finding the Third Proportional to 10,252 and 13,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252 : 13,506 = 13,506 : x
2. Step 2: Convert to fraction form
   10,252/13,506 = 13,506/x
3. Step 3: Cross multiply
   10,252x = 13,506 × 13,506
4. Step 4: Simplify right side
   10,252x = 182,412,036
5. Step 5: Solve for x
   x = 182,412,036/10,252
6. Step 6: Final answer
   x = 17,792.82