Finding the Third Proportional to 12,443 and 19,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,443 : 19,702.50 = 19,702.50 : x
2. Step 2: Convert to fraction form
   12,443/19,702.50 = 19,702.50/x
3. Step 3: Cross multiply
   12,443x = 19,702.50 × 19,702.50
4. Step 4: Simplify right side
   12,443x = 388,188,506.25
5. Step 5: Solve for x
   x = 388,188,506.25/12,443
6. Step 6: Final answer
   x = 31,197.34