Finding the Third Proportional to 12,826.69 and 19,702.41

Step by Step Solution

1. Step 1: Write the proportion equation
   12,826.69 : 19,702.41 = 19,702.41 : x
2. Step 2: Convert to fraction form
   12,826.69/19,702.41 = 19,702.41/x
3. Step 3: Cross multiply
   12,826.69x = 19,702.41 × 19,702.41
4. Step 4: Simplify right side
   12,826.69x = 388,184,812.04
5. Step 5: Solve for x
   x = 388,184,812.04/12,826.69
6. Step 6: Final answer
   x = 30,263.84