Finding the Third Proportional to 7,832.25 and 12,141.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832.25 : 12,141.56 = 12,141.56 : x
2. Step 2: Convert to fraction form
   7,832.25/12,141.56 = 12,141.56/x
3. Step 3: Cross multiply
   7,832.25x = 12,141.56 × 12,141.56
4. Step 4: Simplify right side
   7,832.25x = 147,417,539.94
5. Step 5: Solve for x
   x = 147,417,539.94/7,832.25
6. Step 6: Final answer
   x = 18,821.86