Finding the Third Proportional to 7,926 and 12,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,926 : 12,268.50 = 12,268.50 : x
2. Step 2: Convert to fraction form
   7,926/12,268.50 = 12,268.50/x
3. Step 3: Cross multiply
   7,926x = 12,268.50 × 12,268.50
4. Step 4: Simplify right side
   7,926x = 150,516,092.25
5. Step 5: Solve for x
   x = 150,516,092.25/7,926
6. Step 6: Final answer
   x = 18,990.17