Finding the Third Proportional to 10,527 and 13,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,527 : 13,306.50 = 13,306.50 : x
2. Step 2: Convert to fraction form
   10,527/13,306.50 = 13,306.50/x
3. Step 3: Cross multiply
   10,527x = 13,306.50 × 13,306.50
4. Step 4: Simplify right side
   10,527x = 177,062,942.25
5. Step 5: Solve for x
   x = 177,062,942.25/10,527
6. Step 6: Final answer
   x = 16,819.89