Finding the Third Proportional to 12,798 and 19,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,798 : 19,743.50 = 19,743.50 : x
2. Step 2: Convert to fraction form
   12,798/19,743.50 = 19,743.50/x
3. Step 3: Cross multiply
   12,798x = 19,743.50 × 19,743.50
4. Step 4: Simplify right side
   12,798x = 389,805,792.25
5. Step 5: Solve for x
   x = 389,805,792.25/12,798
6. Step 6: Final answer
   x = 30,458.34