Finding the Third Proportional to 7,704 and 12,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,704 : 12,406.50 = 12,406.50 : x
2. Step 2: Convert to fraction form
   7,704/12,406.50 = 12,406.50/x
3. Step 3: Cross multiply
   7,704x = 12,406.50 × 12,406.50
4. Step 4: Simplify right side
   7,704x = 153,921,242.25
5. Step 5: Solve for x
   x = 153,921,242.25/7,704
6. Step 6: Final answer
   x = 19,979.39