Finding the Third Proportional to 7,650 and 10,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,650 : 10,828.50 = 10,828.50 : x
2. Step 2: Convert to fraction form
   7,650/10,828.50 = 10,828.50/x
3. Step 3: Cross multiply
   7,650x = 10,828.50 × 10,828.50
4. Step 4: Simplify right side
   7,650x = 117,256,412.25
5. Step 5: Solve for x
   x = 117,256,412.25/7,650
6. Step 6: Final answer
   x = 15,327.64