Finding the Third Proportional to 9,733.50 and 13,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,733.50 : 13,702.50 = 13,702.50 : x
2. Step 2: Convert to fraction form
   9,733.50/13,702.50 = 13,702.50/x
3. Step 3: Cross multiply
   9,733.50x = 13,702.50 × 13,702.50
4. Step 4: Simplify right side
   9,733.50x = 187,758,506.25
5. Step 5: Solve for x
   x = 187,758,506.25/9,733.50
6. Step 6: Final answer
   x = 19,289.93