Finding the Third Proportional to 10,352 and 13,470

Step by Step Solution

1. Step 1: Write the proportion equation
   10,352 : 13,470 = 13,470 : x
2. Step 2: Convert to fraction form
   10,352/13,470 = 13,470/x
3. Step 3: Cross multiply
   10,352x = 13,470 × 13,470
4. Step 4: Simplify right side
   10,352x = 181,440,900
5. Step 5: Solve for x
   x = 181,440,900/10,352
6. Step 6: Final answer
   x = 17,527.13