Finding the Third Proportional to 5,366.25 and 12,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,366.25 : 12,541.50 = 12,541.50 : x
2. Step 2: Convert to fraction form
   5,366.25/12,541.50 = 12,541.50/x
3. Step 3: Cross multiply
   5,366.25x = 12,541.50 × 12,541.50
4. Step 4: Simplify right side
   5,366.25x = 157,289,222.25
5. Step 5: Solve for x
   x = 157,289,222.25/5,366.25
6. Step 6: Final answer
   x = 29,310.83