Finding the Third Proportional to 4,194 and 7,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,194 : 7,141.50 = 7,141.50 : x
2. Step 2: Convert to fraction form
   4,194/7,141.50 = 7,141.50/x
3. Step 3: Cross multiply
   4,194x = 7,141.50 × 7,141.50
4. Step 4: Simplify right side
   4,194x = 51,001,022.25
5. Step 5: Solve for x
   x = 51,001,022.25/4,194
6. Step 6: Final answer
   x = 12,160.47