Finding the Third Proportional to 10,506 and 13,275

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 13,275 = 13,275 : x
2. Step 2: Convert to fraction form
   10,506/13,275 = 13,275/x
3. Step 3: Cross multiply
   10,506x = 13,275 × 13,275
4. Step 4: Simplify right side
   10,506x = 176,225,625
5. Step 5: Solve for x
   x = 176,225,625/10,506
6. Step 6: Final answer
   x = 16,773.81