Finding the Third Proportional to 5,198 and 10,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198 : 10,702.50 = 10,702.50 : x
2. Step 2: Convert to fraction form
   5,198/10,702.50 = 10,702.50/x
3. Step 3: Cross multiply
   5,198x = 10,702.50 × 10,702.50
4. Step 4: Simplify right side
   5,198x = 114,543,506.25
5. Step 5: Solve for x
   x = 114,543,506.25/5,198
6. Step 6: Final answer
   x = 22,036.07