Finding the Third Proportional to 8,882 and 10,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,882 : 10,785.50 = 10,785.50 : x
2. Step 2: Convert to fraction form
   8,882/10,785.50 = 10,785.50/x
3. Step 3: Cross multiply
   8,882x = 10,785.50 × 10,785.50
4. Step 4: Simplify right side
   8,882x = 116,327,010.25
5. Step 5: Solve for x
   x = 116,327,010.25/8,882
6. Step 6: Final answer
   x = 13,096.94