Finding the Third Proportional to 7,784.25 and 12,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.25 : 12,086.50 = 12,086.50 : x
2. Step 2: Convert to fraction form
   7,784.25/12,086.50 = 12,086.50/x
3. Step 3: Cross multiply
   7,784.25x = 12,086.50 × 12,086.50
4. Step 4: Simplify right side
   7,784.25x = 146,083,482.25
5. Step 5: Solve for x
   x = 146,083,482.25/7,784.25
6. Step 6: Final answer
   x = 18,766.55