Finding the Third Proportional to 5,256 and 7,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256 : 7,816.50 = 7,816.50 : x
2. Step 2: Convert to fraction form
   5,256/7,816.50 = 7,816.50/x
3. Step 3: Cross multiply
   5,256x = 7,816.50 × 7,816.50
4. Step 4: Simplify right side
   5,256x = 61,097,672.25
5. Step 5: Solve for x
   x = 61,097,672.25/5,256
6. Step 6: Final answer
   x = 11,624.37