Finding the Third Proportional to 6,016.50 and 8,784

Step by Step Solution

1. Step 1: Write the proportion equation
   6,016.50 : 8,784 = 8,784 : x
2. Step 2: Convert to fraction form
   6,016.50/8,784 = 8,784/x
3. Step 3: Cross multiply
   6,016.50x = 8,784 × 8,784
4. Step 4: Simplify right side
   6,016.50x = 77,158,656
5. Step 5: Solve for x
   x = 77,158,656/6,016.50
6. Step 6: Final answer
   x = 12,824.51